Mister Exam
Factor polynomial x^4+y^4+2*x^2*y^2-6*x-36*y^2+25
The solution
You have entered
[src]
4 4 2 2 2 x + y + 2*x *y - 6*x - 36*y + 25
$$\left(- 36 y^{2} + \left(- 6 x + \left(2 x^{2} y^{2} + \left(x^{4} + y^{4}\right)\right)\right)\right) + 25$$
x^4 + y^4 + (2*x^2)*y^2 - 6*x - 36*y^2 + 25
General simplification
[src]
4 4 2 2 2 25 + x + y - 36*y - 6*x + 2*x *y
$$x^{4} + 2 x^{2} y^{2} - 6 x + y^{4} - 36 y^{2} + 25$$
25 + x^4 + y^4 - 36*y^2 - 6*x + 2*x^2*y^2
Factorization
[src]
/ // _______________________________________________________________________________________________________________________ \\ / // _______________________________________________________________________________________________________________________ \\ / // _____________________________________________________________________________________________________________________ \\ / // _____________________________________________________________________________________________________________________ \\ | || / _____________________________________ || | || / _____________________________________ || | || / _____________________________________ || | || / _____________________________________ || | || / / 6 2 / 4 2\ 2 || | || / / 6 2 / 4 2\ 2 || | || / / 6 2 / 4 2\ 2 || | || / / 6 2 / 4 2\ 2 || | || / 12 / 9 2*y 2*y *\25 + y - 36*y / 8*y || | || / 12 / 9 2*y 2*y *\25 + y - 36*y / 8*y || | || / / 9 2*y 2*y *\25 + y - 36*y / 12 8*y || | || / / 9 2*y 2*y *\25 + y - 36*y / 12 8*y || | || / - ------------------------------------------------------------- + 2*3 / - - - ---- + ---------------------- - ---- || | || / - ------------------------------------------------------------- + 2*3 / - - - ---- + ---------------------- - ---- || | || / 2*3 / - - - ---- + ---------------------- + ------------------------------------------------------------- - ---- || | || / 2*3 / - - - ---- + ---------------------- + ------------------------------------------------------------- - ---- || | || _______________________________________________________ / _______________________________________________________ \/ 2 27 3 3 || | || / _______________________________________________________ \/ 2 27 3 3 _______________________________________________________ || | || _______________________________________________________ / \/ 2 27 3 _______________________________________________________ 3 || | || _______________________________________________________ / \/ 2 27 3 _______________________________________________________ 3 || | || / _____________________________________ / / _____________________________________ || | || / / _____________________________________ / _____________________________________ || | || / _____________________________________ / / _____________________________________ || | || / _____________________________________ / / _____________________________________ || | || / / 6 2 / 4 2\ 2 / / / 6 2 / 4 2\ 2 || | || / / / 6 2 / 4 2\ 2 / / 6 2 / 4 2\ 2 || | || / / 6 2 / 4 2\ 2 / / / 6 2 / 4 2\ 2 || | || / / 6 2 / 4 2\ 2 / / / 6 2 / 4 2\ 2 || | || / / 9 2*y 2*y *\25 + y - 36*y / 4*y / / / 9 2*y 2*y *\25 + y - 36*y / 4*y || | || / / / 9 2*y 2*y *\25 + y - 36*y / 4*y / / 9 2*y 2*y *\25 + y - 36*y / 4*y || | || / / 9 2*y 2*y *\25 + y - 36*y / 4*y / / / 9 2*y 2*y *\25 + y - 36*y / 4*y || | || / / 9 2*y 2*y *\25 + y - 36*y / 4*y / / / 9 2*y 2*y *\25 + y - 36*y / 4*y || | || / - 2*3 / - - - ---- + ---------------------- - ---- / / - 2*3 / - - - ---- + ---------------------- - ---- 4 || | || / / - 2*3 / - - - ---- + ---------------------- - ---- / - 2*3 / - - - ---- + ---------------------- - ---- 4 || | || / - 2*3 / - - - ---- + ---------------------- - ---- / / - 2*3 / - - - ---- + ---------------------- - ---- 4 || | || / - 2*3 / - - - ---- + ---------------------- - ---- / / - 2*3 / - - - ---- + ---------------------- - ---- 4 || | || \/ \/ 2 27 3 3 \/ \/ \/ 2 27 3 3 2 4*y || | || \/ \/ \/ 2 27 3 3 \/ \/ 2 27 3 3 2 4*y || | || \/ \/ 2 27 3 3 \/ \/ \/ 2 27 3 3 2 4*y || | || \/ \/ 2 27 3 3 \/ \/ \/ 2 27 3 3 2 4*y || | || - ------------------------------------------------------------- - ---------------------------------------------------------------------------------------------------------------------------------- for 25 - 36*y + ---- = 0|| | || ---------------------------------------------------------------------------------------------------------------------------------- - ------------------------------------------------------------- for 25 - 36*y + ---- = 0|| | || ------------------------------------------------------------- - -------------------------------------------------------------------------------------------------------------------------------- for 25 - 36*y + ---- = 0|| | || ------------------------------------------------------------- + -------------------------------------------------------------------------------------------------------------------------------- for 25 - 36*y + ---- = 0|| | || 2 2 3 || | || 2 2 3 || | || 2 2 3 || | || 2 2 3 || | || || | || || | || || | || || | || 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________________________________________________________________ || | || / / ________________________________________________________________ || | || / / ________________________________________________________________ || | || / / ________________________________________________________________ || | || / / / 2 3 || | || / / / 2 3 || | || / / / 2 3 || | || / / / 2 3 || | || / / / / 6 2 / 4 2\\ / 4\ / 4\ || | || / / / / 6 2 / 4 2\\ / 4\ / 4\ || | || / / / / 6 2 / 4 2\\ / 4\ / 4\ || | || / / / / 6 2 / 4 2\\ / 4\ / 4\ || | || / / / | 9 2*y 2*y *\25 + y - 36*y /| | 2 4*y | | 2 4*y | || | || / / / | 9 2*y 2*y *\25 + y - 36*y /| | 2 4*y | | 2 4*y | || | || / / / | 9 2*y 2*y *\25 + y - 36*y /| | 2 4*y | | 2 4*y | || | || / / / | 9 2*y 2*y *\25 + y - 36*y /| | 2 4*y | | 2 4*y | || | || / / / |- - - ---- + ----------------------| |-25 + 36*y - ----| 6 2 / 4 2\ 2 2*|-25 + 36*y - ----| || | || / / / |- - - ---- + ----------------------| |-25 + 36*y - ----| 6 2 / 4 2\ 2 2*|-25 + 36*y - ----| || | || / / / |- - - ---- + ----------------------| |-25 + 36*y - ----| 6 2 / 4 2\ 2 2*|-25 + 36*y - ----| || | || / / / |- - - ---- + ----------------------| |-25 + 36*y - ----| 6 2 / 4 2\ 2 2*|-25 + 36*y - ----| || |x - |< / 12 / 9 / \ 2 27 3 / \ 3 / y y *\25 + y - 36*y / 8*y \ 3 / ||*|x - |< / 12 / 9 / \ 2 27 3 / \ 3 / y y *\25 + y - 36*y / 8*y \ 3 / ||*|x - |< / / 9 / \ 2 27 3 / \ 3 / y y *\25 + y - 36*y / 12 8*y \ 3 / ||*|x - |< / / 9 / \ 2 27 3 / \ 3 / y y *\25 + y - 36*y / 12 8*y \ 3 / || | || / - ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------ - 2*3 / - + / -------------------------------------- + --------------------- + -- - -------------------- - ---- + --------------------------------------------------------------------------------------------------------------------- || | || / - ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------ - 2*3 / - + / -------------------------------------- + --------------------- + -- - -------------------- - ---- + --------------------------------------------------------------------------------------------------------------------- || | || / - 2*3 / - + / -------------------------------------- + --------------------- + -- - -------------------- + ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------ - ---- + --------------------------------------------------------------------------------------------------------------------- || | || / - 2*3 / - + / -------------------------------------- + --------------------- + -- - -------------------- + ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------ - ---- + --------------------------------------------------------------------------------------------------------------------- || | || ______________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________ / ______________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________ \/ 4 \/ 4 27 27 3 3 __________________________________________________________________________________________________________ || | || / ______________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________ \/ 4 \/ 4 27 27 3 3 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________________________________________________________________ / / 2 3 || | || / / / ________________________________________________________________ / / 2 3 / / ________________________________________________________________ || | || / / ________________________________________________________________ / / / ________________________________________________________________ / / 2 3 || | || / / ________________________________________________________________ / / / ________________________________________________________________ / / 2 3 || | || / / / 2 3 / / / / 2 3 / / / 6 2 / 4 2\\ / 4\ || | || / / / / 2 3 / / / 6 2 / 4 2\\ / 4\ / / / 2 3 || | || / / / 2 3 / / / / 2 3 / / / 6 2 / 4 2\\ / 4\ || | || / / / 2 3 / / / / 2 3 / / / 6 2 / 4 2\\ / 4\ || | || / / / / 6 2 / 4 2\\ / 4\ / 4\ / / / / / 6 2 / 4 2\\ / 4\ / 4\ / / | 9 2*y 2*y *\25 + y - 36*y /| | 2 4*y | || | || / / / / / 6 2 / 4 2\\ / 4\ / 4\ / / | 9 2*y 2*y *\25 + y - 36*y /| | 2 4*y | / / / / 6 2 / 4 2\\ / 4\ / 4\ || | || / / / / 6 2 / 4 2\\ / 4\ / 4\ / / / / / 6 2 / 4 2\\ / 4\ / 4\ / / | 9 2*y 2*y *\25 + y - 36*y /| | 2 4*y | || | || / / / / 6 2 / 4 2\\ / 4\ / 4\ / / / / / 6 2 / 4 2\\ / 4\ / 4\ / / | 9 2*y 2*y *\25 + y - 36*y /| | 2 4*y | || | || / / / | 9 2*y 2*y *\25 + y - 36*y /| | 2 4*y | | 2 4*y | / / / / | 9 2*y 2*y *\25 + y - 36*y /| | 2 4*y | | 2 4*y | / / |- - - ---- + ----------------------| |-25 + 36*y - ----| 6 2 / 4 2\ || | || / / / / | 9 2*y 2*y *\25 + y - 36*y /| | 2 4*y | | 2 4*y | / / |- - - ---- + ----------------------| |-25 + 36*y - ----| 6 2 / 4 2\ / / / | 9 2*y 2*y *\25 + y - 36*y /| | 2 4*y | | 2 4*y | || | || / / / | 9 2*y 2*y *\25 + y - 36*y /| | 2 4*y | | 2 4*y | / / / / | 9 2*y 2*y *\25 + y - 36*y /| | 2 4*y | | 2 4*y | / / |- - - ---- + ----------------------| |-25 + 36*y - ----| 6 2 / 4 2\ || | || / / / | 9 2*y 2*y *\25 + y - 36*y /| | 2 4*y | | 2 4*y | / / / / | 9 2*y 2*y *\25 + y - 36*y /| | 2 4*y | | 2 4*y | / / |- - - ---- + ----------------------| |-25 + 36*y - ----| 6 2 / 4 2\ || | || / / / |- - - ---- + ----------------------| |-25 + 36*y - ----| 6 2 / 4 2\ 2 2*|-25 + 36*y - ----| / / / / |- - - ---- + ----------------------| |-25 + 36*y - ----| 6 2 / 4 2\ 2 2*|-25 + 36*y - ----| / 9 / \ 2 27 3 / \ 3 / y y *\25 + y - 36*y / || | || / / / / |- - - ---- + ----------------------| |-25 + 36*y - ----| 6 2 / 4 2\ 2 2*|-25 + 36*y - ----| / 9 / \ 2 27 3 / \ 3 / y y *\25 + y - 36*y / / / / |- - - ---- + ----------------------| |-25 + 36*y - ----| 6 2 / 4 2\ 2 2*|-25 + 36*y - ----| || | || / / / |- - - ---- + ----------------------| |-25 + 36*y - ----| 6 2 / 4 2\ 2 2*|-25 + 36*y - ----| / / / / |- - - ---- + ----------------------| |-25 + 36*y - ----| 6 2 / 4 2\ 2 2*|-25 + 36*y - ----| / 9 / \ 2 27 3 / \ 3 / y y *\25 + y - 36*y / || | || / / / |- - - ---- + ----------------------| |-25 + 36*y - ----| 6 2 / 4 2\ 2 2*|-25 + 36*y - ----| / / / / |- - - ---- + ----------------------| |-25 + 36*y - ----| 6 2 / 4 2\ 2 2*|-25 + 36*y - ----| / 9 / \ 2 27 3 / \ 3 / y y *\25 + y - 36*y / || | || / / 9 / \ 2 27 3 / \ 3 / y y *\25 + y - 36*y / 4*y \ 3 / / / / 9 / \ 2 27 3 / \ 3 / y y *\25 + y - 36*y / 4*y \ 3 / 3*3 / - + / -------------------------------------- + --------------------- + -- - -------------------- || | || / / / 9 / \ 2 27 3 / \ 3 / y y *\25 + y - 36*y / 4*y \ 3 / 3*3 / - + / -------------------------------------- + --------------------- + -- - -------------------- / / 9 / \ 2 27 3 / \ 3 / y y *\25 + y - 36*y / 4*y \ 3 / || | || / / 9 / \ 2 27 3 / \ 3 / y y *\25 + y - 36*y / 4*y \ 3 / / / / 9 / \ 2 27 3 / \ 3 / y y *\25 + y - 36*y / 4*y \ 3 / 3*3 / - + / -------------------------------------- + --------------------- + -- - -------------------- || | || / / 9 / \ 2 27 3 / \ 3 / y y *\25 + y - 36*y / 4*y \ 3 / / / / 9 / \ 2 27 3 / \ 3 / y y *\25 + y - 36*y / 4*y \ 3 / 3*3 / - + / -------------------------------------- + --------------------- + -- - -------------------- || | || / 2*3 / - + / -------------------------------------- + --------------------- + -- - -------------------- - ---- - --------------------------------------------------------------------------------------------------------------------- / / 2*3 / - + / -------------------------------------- + --------------------- + -- - -------------------- - ---- - --------------------------------------------------------------------------------------------------------------------- \/ 4 \/ 4 27 27 3 || | || / / 2*3 / - + / -------------------------------------- + --------------------- + -- - -------------------- - ---- - --------------------------------------------------------------------------------------------------------------------- \/ 4 \/ 4 27 27 3 / 2*3 / - + / -------------------------------------- + --------------------- + -- - -------------------- - ---- - --------------------------------------------------------------------------------------------------------------------- || | || / 2*3 / - + / -------------------------------------- + --------------------- + -- - -------------------- - ---- - --------------------------------------------------------------------------------------------------------------------- / / 2*3 / - + / -------------------------------------- + --------------------- + -- - -------------------- - ---- - --------------------------------------------------------------------------------------------------------------------- \/ 4 \/ 4 27 27 3 || | || / 2*3 / - + / -------------------------------------- + --------------------- + -- - -------------------- - ---- - --------------------------------------------------------------------------------------------------------------------- / / 2*3 / - + / -------------------------------------- + --------------------- + -- - -------------------- - ---- - --------------------------------------------------------------------------------------------------------------------- \/ 4 \/ 4 27 27 3 || | || / \/ 4 \/ 4 27 27 3 3 __________________________________________________________________________________________________________ / / \/ 4 \/ 4 27 27 3 3 __________________________________________________________________________________________________________ || | || / / \/ 4 \/ 4 27 27 3 3 __________________________________________________________________________________________________________ / \/ 4 \/ 4 27 27 3 3 __________________________________________________________________________________________________________ || | || / \/ 4 \/ 4 27 27 3 3 __________________________________________________________________________________________________________ / / \/ 4 \/ 4 27 27 3 3 __________________________________________________________________________________________________________ || | || / \/ 4 \/ 4 27 27 3 3 __________________________________________________________________________________________________________ / / \/ 4 \/ 4 27 27 3 3 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|| | || / / / / 6 2 / 4 2\\ / 4\ / / / / / 6 2 / 4 2\\ / 4\ || | || / / / | 9 2*y 2*y *\25 + y - 36*y /| | 2 4*y | / / / / | 9 2*y 2*y *\25 + y - 36*y /| | 2 4*y | || | || / / / / | 9 2*y 2*y *\25 + y - 36*y /| | 2 4*y | / / / | 9 2*y 2*y *\25 + y - 36*y /| | 2 4*y | || | || / / / | 9 2*y 2*y *\25 + y - 36*y /| | 2 4*y | / / / / | 9 2*y 2*y *\25 + y - 36*y /| | 2 4*y | || | || / / / | 9 2*y 2*y *\25 + y - 36*y /| | 2 4*y | / / / / | 9 2*y 2*y *\25 + y - 36*y /| | 2 4*y | || | || / / / |- - - ---- + ----------------------| |-25 + 36*y - ----| 6 2 / 4 2\ / / / / |- - - ---- + ----------------------| |-25 + 36*y - ----| 6 2 / 4 2\ || | || / / / / |- - - ---- + ----------------------| |-25 + 36*y - ----| 6 2 / 4 2\ / / / |- - - ---- + ----------------------| |-25 + 36*y - ----| 6 2 / 4 2\ || | || / / / |- - - ---- + ----------------------| |-25 + 36*y - ----| 6 2 / 4 2\ / / / / |- - - ---- + ----------------------| |-25 + 36*y - ----| 6 2 / 4 2\ || | || / / / |- - - ---- + ----------------------| |-25 + 36*y - ----| 6 2 / 4 2\ / / / / |- - - ---- + ----------------------| |-25 + 36*y - ----| 6 2 / 4 2\ || | || / / 9 / \ 2 27 3 / \ 3 / y y *\25 + y - 36*y / / / / 9 / \ 2 27 3 / \ 3 / y y *\25 + y - 36*y / || | || / / / 9 / \ 2 27 3 / \ 3 / y y *\25 + y - 36*y / / / 9 / \ 2 27 3 / \ 3 / y y *\25 + y - 36*y / || | || / / 9 / \ 2 27 3 / \ 3 / y y *\25 + y - 36*y / / / / 9 / \ 2 27 3 / \ 3 / y y *\25 + y - 36*y / || | || / / 9 / \ 2 27 3 / \ 3 / y y *\25 + y - 36*y / / / / 9 / \ 2 27 3 / \ 3 / y y *\25 + y - 36*y / || | || / 3*3 / - + / -------------------------------------- + --------------------- + -- - -------------------- / / 3*3 / - + / -------------------------------------- + --------------------- + -- - -------------------- || | || / / 3*3 / - + / -------------------------------------- + --------------------- + -- - -------------------- / 3*3 / - + / -------------------------------------- + --------------------- + -- - -------------------- || | || / 3*3 / - + / -------------------------------------- + --------------------- + -- - -------------------- / / 3*3 / - + / -------------------------------------- + --------------------- + -- - -------------------- || | || / 3*3 / - + / -------------------------------------- + --------------------- + -- - -------------------- / / 3*3 / - + / -------------------------------------- + --------------------- + -- - -------------------- || | || \/ \/ 4 \/ 4 27 27 3 \/ \/ \/ 4 \/ 4 27 27 3 || | ||\/ \/ \/ 4 \/ 4 27 27 3 \/ \/ 4 \/ 4 27 27 3 || | ||\/ \/ 4 \/ 4 27 27 3 \/ \/ \/ 4 \/ 4 27 27 3 || | ||\/ \/ 4 \/ 4 27 27 3 \/ \/ \/ 4 \/ 4 27 27 3 || | ||- ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------ - -------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- otherwise || | ||-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- - ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------ otherwise || | ||------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------ - -------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- otherwise || | ||------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------ + -------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- otherwise || \ \\ 2 2 // \ \\ 2 2 // \ \\ 2 2 // \ \\ 2 2 //
$$\left(x - \begin{cases} - \frac{\sqrt{- \frac{4 y^{2}}{3} - 2 \sqrt[3]{- \frac{2 y^{6}}{27} + \frac{2 y^{2} \left(y^{4} - 36 y^{2} + 25\right)}{3} - \frac{9}{2}}}}{2} - \frac{\sqrt{- \frac{8 y^{2}}{3} + 2 \sqrt[3]{- \frac{2 y^{6}}{27} + \frac{2 y^{2} \left(y^{4} - 36 y^{2} + 25\right)}{3} - \frac{9}{2}} - \frac{12}{\sqrt{- \frac{4 y^{2}}{3} - 2 \sqrt[3]{- \frac{2 y^{6}}{27} + \frac{2 y^{2} \left(y^{4} - 36 y^{2} + 25\right)}{3} - \frac{9}{2}}}}}}{2} & \text{for}\: \frac{4 y^{4}}{3} - 36 y^{2} + 25 = 0 \\- \frac{\sqrt{- \frac{4 y^{2}}{3} - \frac{2 \left(- \frac{4 y^{4}}{3} + 36 y^{2} - 25\right)}{3 \sqrt[3]{\frac{y^{6}}{27} - \frac{y^{2} \left(y^{4} - 36 y^{2} + 25\right)}{3} + \sqrt{\frac{\left(- \frac{4 y^{4}}{3} + 36 y^{2} - 25\right)^{3}}{27} + \frac{\left(- \frac{2 y^{6}}{27} + \frac{2 y^{2} \left(y^{4} - 36 y^{2} + 25\right)}{3} - \frac{9}{2}\right)^{2}}{4}} + \frac{9}{4}}} + 2 \sqrt[3]{\frac{y^{6}}{27} - \frac{y^{2} \left(y^{4} - 36 y^{2} + 25\right)}{3} + \sqrt{\frac{\left(- \frac{4 y^{4}}{3} + 36 y^{2} - 25\right)^{3}}{27} + \frac{\left(- \frac{2 y^{6}}{27} + \frac{2 y^{2} \left(y^{4} - 36 y^{2} + 25\right)}{3} - \frac{9}{2}\right)^{2}}{4}} + \frac{9}{4}}}}{2} - \frac{\sqrt{- \frac{8 y^{2}}{3} + \frac{2 \left(- \frac{4 y^{4}}{3} + 36 y^{2} - 25\right)}{3 \sqrt[3]{\frac{y^{6}}{27} - \frac{y^{2} \left(y^{4} - 36 y^{2} + 25\right)}{3} + \sqrt{\frac{\left(- \frac{4 y^{4}}{3} + 36 y^{2} - 25\right)^{3}}{27} + \frac{\left(- \frac{2 y^{6}}{27} + \frac{2 y^{2} \left(y^{4} - 36 y^{2} + 25\right)}{3} - \frac{9}{2}\right)^{2}}{4}} + \frac{9}{4}}} - 2 \sqrt[3]{\frac{y^{6}}{27} - \frac{y^{2} \left(y^{4} - 36 y^{2} + 25\right)}{3} + \sqrt{\frac{\left(- \frac{4 y^{4}}{3} + 36 y^{2} - 25\right)^{3}}{27} + \frac{\left(- \frac{2 y^{6}}{27} + \frac{2 y^{2} \left(y^{4} - 36 y^{2} + 25\right)}{3} - \frac{9}{2}\right)^{2}}{4}} + \frac{9}{4}} - \frac{12}{\sqrt{- \frac{4 y^{2}}{3} - \frac{2 \left(- \frac{4 y^{4}}{3} + 36 y^{2} - 25\right)}{3 \sqrt[3]{\frac{y^{6}}{27} - \frac{y^{2} \left(y^{4} - 36 y^{2} + 25\right)}{3} + \sqrt{\frac{\left(- \frac{4 y^{4}}{3} + 36 y^{2} - 25\right)^{3}}{27} + \frac{\left(- \frac{2 y^{6}}{27} + \frac{2 y^{2} \left(y^{4} - 36 y^{2} + 25\right)}{3} - \frac{9}{2}\right)^{2}}{4}} + \frac{9}{4}}} + 2 \sqrt[3]{\frac{y^{6}}{27} - \frac{y^{2} \left(y^{4} - 36 y^{2} + 25\right)}{3} + \sqrt{\frac{\left(- \frac{4 y^{4}}{3} + 36 y^{2} - 25\right)^{3}}{27} + \frac{\left(- \frac{2 y^{6}}{27} + \frac{2 y^{2} \left(y^{4} - 36 y^{2} + 25\right)}{3} - \frac{9}{2}\right)^{2}}{4}} + \frac{9}{4}}}}}}{2} & \text{otherwise} \end{cases}\right) \left(x - \begin{cases} - \frac{\sqrt{- \frac{4 y^{2}}{3} - 2 \sqrt[3]{- \frac{2 y^{6}}{27} + \frac{2 y^{2} \left(y^{4} - 36 y^{2} + 25\right)}{3} - \frac{9}{2}}}}{2} + \frac{\sqrt{- \frac{8 y^{2}}{3} + 2 \sqrt[3]{- \frac{2 y^{6}}{27} + \frac{2 y^{2} \left(y^{4} - 36 y^{2} + 25\right)}{3} - \frac{9}{2}} - \frac{12}{\sqrt{- \frac{4 y^{2}}{3} - 2 \sqrt[3]{- \frac{2 y^{6}}{27} + \frac{2 y^{2} \left(y^{4} - 36 y^{2} + 25\right)}{3} - \frac{9}{2}}}}}}{2} & \text{for}\: \frac{4 y^{4}}{3} - 36 y^{2} + 25 = 0 \\- \frac{\sqrt{- \frac{4 y^{2}}{3} - \frac{2 \left(- \frac{4 y^{4}}{3} + 36 y^{2} - 25\right)}{3 \sqrt[3]{\frac{y^{6}}{27} - \frac{y^{2} \left(y^{4} - 36 y^{2} + 25\right)}{3} + \sqrt{\frac{\left(- \frac{4 y^{4}}{3} + 36 y^{2} - 25\right)^{3}}{27} + \frac{\left(- \frac{2 y^{6}}{27} + \frac{2 y^{2} \left(y^{4} - 36 y^{2} + 25\right)}{3} - \frac{9}{2}\right)^{2}}{4}} + \frac{9}{4}}} + 2 \sqrt[3]{\frac{y^{6}}{27} - \frac{y^{2} \left(y^{4} - 36 y^{2} + 25\right)}{3} + \sqrt{\frac{\left(- \frac{4 y^{4}}{3} + 36 y^{2} - 25\right)^{3}}{27} + \frac{\left(- \frac{2 y^{6}}{27} + \frac{2 y^{2} \left(y^{4} - 36 y^{2} + 25\right)}{3} - \frac{9}{2}\right)^{2}}{4}} + \frac{9}{4}}}}{2} + \frac{\sqrt{- \frac{8 y^{2}}{3} + \frac{2 \left(- \frac{4 y^{4}}{3} + 36 y^{2} - 25\right)}{3 \sqrt[3]{\frac{y^{6}}{27} - \frac{y^{2} \left(y^{4} - 36 y^{2} + 25\right)}{3} + \sqrt{\frac{\left(- \frac{4 y^{4}}{3} + 36 y^{2} - 25\right)^{3}}{27} + \frac{\left(- \frac{2 y^{6}}{27} + \frac{2 y^{2} \left(y^{4} - 36 y^{2} + 25\right)}{3} - \frac{9}{2}\right)^{2}}{4}} + \frac{9}{4}}} - 2 \sqrt[3]{\frac{y^{6}}{27} - \frac{y^{2} \left(y^{4} - 36 y^{2} + 25\right)}{3} + \sqrt{\frac{\left(- \frac{4 y^{4}}{3} + 36 y^{2} - 25\right)^{3}}{27} + \frac{\left(- \frac{2 y^{6}}{27} + \frac{2 y^{2} \left(y^{4} - 36 y^{2} + 25\right)}{3} - \frac{9}{2}\right)^{2}}{4}} + \frac{9}{4}} - \frac{12}{\sqrt{- \frac{4 y^{2}}{3} - \frac{2 \left(- \frac{4 y^{4}}{3} + 36 y^{2} - 25\right)}{3 \sqrt[3]{\frac{y^{6}}{27} - \frac{y^{2} \left(y^{4} - 36 y^{2} + 25\right)}{3} + \sqrt{\frac{\left(- \frac{4 y^{4}}{3} + 36 y^{2} - 25\right)^{3}}{27} + \frac{\left(- \frac{2 y^{6}}{27} + \frac{2 y^{2} \left(y^{4} - 36 y^{2} + 25\right)}{3} - \frac{9}{2}\right)^{2}}{4}} + \frac{9}{4}}} + 2 \sqrt[3]{\frac{y^{6}}{27} - \frac{y^{2} \left(y^{4} - 36 y^{2} + 25\right)}{3} + \sqrt{\frac{\left(- \frac{4 y^{4}}{3} + 36 y^{2} - 25\right)^{3}}{27} + \frac{\left(- \frac{2 y^{6}}{27} + \frac{2 y^{2} \left(y^{4} - 36 y^{2} + 25\right)}{3} - \frac{9}{2}\right)^{2}}{4}} + \frac{9}{4}}}}}}{2} & \text{otherwise} \end{cases}\right) \left(x - \begin{cases} \frac{\sqrt{- \frac{4 y^{2}}{3} - 2 \sqrt[3]{- \frac{2 y^{6}}{27} + \frac{2 y^{2} \left(y^{4} - 36 y^{2} + 25\right)}{3} - \frac{9}{2}}}}{2} - \frac{\sqrt{- \frac{8 y^{2}}{3} + 2 \sqrt[3]{- \frac{2 y^{6}}{27} + \frac{2 y^{2} \left(y^{4} - 36 y^{2} + 25\right)}{3} - \frac{9}{2}} + \frac{12}{\sqrt{- \frac{4 y^{2}}{3} - 2 \sqrt[3]{- \frac{2 y^{6}}{27} + \frac{2 y^{2} \left(y^{4} - 36 y^{2} + 25\right)}{3} - \frac{9}{2}}}}}}{2} & \text{for}\: \frac{4 y^{4}}{3} - 36 y^{2} + 25 = 0 \\\frac{\sqrt{- \frac{4 y^{2}}{3} - \frac{2 \left(- \frac{4 y^{4}}{3} + 36 y^{2} - 25\right)}{3 \sqrt[3]{\frac{y^{6}}{27} - \frac{y^{2} \left(y^{4} - 36 y^{2} + 25\right)}{3} + \sqrt{\frac{\left(- \frac{4 y^{4}}{3} + 36 y^{2} - 25\right)^{3}}{27} + \frac{\left(- \frac{2 y^{6}}{27} + \frac{2 y^{2} \left(y^{4} - 36 y^{2} + 25\right)}{3} - \frac{9}{2}\right)^{2}}{4}} + \frac{9}{4}}} + 2 \sqrt[3]{\frac{y^{6}}{27} - \frac{y^{2} \left(y^{4} - 36 y^{2} + 25\right)}{3} + \sqrt{\frac{\left(- \frac{4 y^{4}}{3} + 36 y^{2} - 25\right)^{3}}{27} + \frac{\left(- \frac{2 y^{6}}{27} + \frac{2 y^{2} \left(y^{4} - 36 y^{2} + 25\right)}{3} - \frac{9}{2}\right)^{2}}{4}} + \frac{9}{4}}}}{2} - \frac{\sqrt{- \frac{8 y^{2}}{3} + \frac{2 \left(- \frac{4 y^{4}}{3} + 36 y^{2} - 25\right)}{3 \sqrt[3]{\frac{y^{6}}{27} - \frac{y^{2} \left(y^{4} - 36 y^{2} + 25\right)}{3} + \sqrt{\frac{\left(- \frac{4 y^{4}}{3} + 36 y^{2} - 25\right)^{3}}{27} + \frac{\left(- \frac{2 y^{6}}{27} + \frac{2 y^{2} \left(y^{4} - 36 y^{2} + 25\right)}{3} - \frac{9}{2}\right)^{2}}{4}} + \frac{9}{4}}} - 2 \sqrt[3]{\frac{y^{6}}{27} - \frac{y^{2} \left(y^{4} - 36 y^{2} + 25\right)}{3} + \sqrt{\frac{\left(- \frac{4 y^{4}}{3} + 36 y^{2} - 25\right)^{3}}{27} + \frac{\left(- \frac{2 y^{6}}{27} + \frac{2 y^{2} \left(y^{4} - 36 y^{2} + 25\right)}{3} - \frac{9}{2}\right)^{2}}{4}} + \frac{9}{4}} + \frac{12}{\sqrt{- \frac{4 y^{2}}{3} - \frac{2 \left(- \frac{4 y^{4}}{3} + 36 y^{2} - 25\right)}{3 \sqrt[3]{\frac{y^{6}}{27} - \frac{y^{2} \left(y^{4} - 36 y^{2} + 25\right)}{3} + \sqrt{\frac{\left(- \frac{4 y^{4}}{3} + 36 y^{2} - 25\right)^{3}}{27} + \frac{\left(- \frac{2 y^{6}}{27} + \frac{2 y^{2} \left(y^{4} - 36 y^{2} + 25\right)}{3} - \frac{9}{2}\right)^{2}}{4}} + \frac{9}{4}}} + 2 \sqrt[3]{\frac{y^{6}}{27} - \frac{y^{2} \left(y^{4} - 36 y^{2} + 25\right)}{3} + \sqrt{\frac{\left(- \frac{4 y^{4}}{3} + 36 y^{2} - 25\right)^{3}}{27} + \frac{\left(- \frac{2 y^{6}}{27} + \frac{2 y^{2} \left(y^{4} - 36 y^{2} + 25\right)}{3} - \frac{9}{2}\right)^{2}}{4}} + \frac{9}{4}}}}}}{2} & \text{otherwise} \end{cases}\right) \left(x - \begin{cases} \frac{\sqrt{- \frac{4 y^{2}}{3} - 2 \sqrt[3]{- \frac{2 y^{6}}{27} + \frac{2 y^{2} \left(y^{4} - 36 y^{2} + 25\right)}{3} - \frac{9}{2}}}}{2} + \frac{\sqrt{- \frac{8 y^{2}}{3} + 2 \sqrt[3]{- \frac{2 y^{6}}{27} + \frac{2 y^{2} \left(y^{4} - 36 y^{2} + 25\right)}{3} - \frac{9}{2}} + \frac{12}{\sqrt{- \frac{4 y^{2}}{3} - 2 \sqrt[3]{- \frac{2 y^{6}}{27} + \frac{2 y^{2} \left(y^{4} - 36 y^{2} + 25\right)}{3} - \frac{9}{2}}}}}}{2} & \text{for}\: \frac{4 y^{4}}{3} - 36 y^{2} + 25 = 0 \\\frac{\sqrt{- \frac{4 y^{2}}{3} - \frac{2 \left(- \frac{4 y^{4}}{3} + 36 y^{2} - 25\right)}{3 \sqrt[3]{\frac{y^{6}}{27} - \frac{y^{2} \left(y^{4} - 36 y^{2} + 25\right)}{3} + \sqrt{\frac{\left(- \frac{4 y^{4}}{3} + 36 y^{2} - 25\right)^{3}}{27} + \frac{\left(- \frac{2 y^{6}}{27} + \frac{2 y^{2} \left(y^{4} - 36 y^{2} + 25\right)}{3} - \frac{9}{2}\right)^{2}}{4}} + \frac{9}{4}}} + 2 \sqrt[3]{\frac{y^{6}}{27} - \frac{y^{2} \left(y^{4} - 36 y^{2} + 25\right)}{3} + \sqrt{\frac{\left(- \frac{4 y^{4}}{3} + 36 y^{2} - 25\right)^{3}}{27} + \frac{\left(- \frac{2 y^{6}}{27} + \frac{2 y^{2} \left(y^{4} - 36 y^{2} + 25\right)}{3} - \frac{9}{2}\right)^{2}}{4}} + \frac{9}{4}}}}{2} + \frac{\sqrt{- \frac{8 y^{2}}{3} + \frac{2 \left(- \frac{4 y^{4}}{3} + 36 y^{2} - 25\right)}{3 \sqrt[3]{\frac{y^{6}}{27} - \frac{y^{2} \left(y^{4} - 36 y^{2} + 25\right)}{3} + \sqrt{\frac{\left(- \frac{4 y^{4}}{3} + 36 y^{2} - 25\right)^{3}}{27} + \frac{\left(- \frac{2 y^{6}}{27} + \frac{2 y^{2} \left(y^{4} - 36 y^{2} + 25\right)}{3} - \frac{9}{2}\right)^{2}}{4}} + \frac{9}{4}}} - 2 \sqrt[3]{\frac{y^{6}}{27} - \frac{y^{2} \left(y^{4} - 36 y^{2} + 25\right)}{3} + \sqrt{\frac{\left(- \frac{4 y^{4}}{3} + 36 y^{2} - 25\right)^{3}}{27} + \frac{\left(- \frac{2 y^{6}}{27} + \frac{2 y^{2} \left(y^{4} - 36 y^{2} + 25\right)}{3} - \frac{9}{2}\right)^{2}}{4}} + \frac{9}{4}} + \frac{12}{\sqrt{- \frac{4 y^{2}}{3} - \frac{2 \left(- \frac{4 y^{4}}{3} + 36 y^{2} - 25\right)}{3 \sqrt[3]{\frac{y^{6}}{27} - \frac{y^{2} \left(y^{4} - 36 y^{2} + 25\right)}{3} + \sqrt{\frac{\left(- \frac{4 y^{4}}{3} + 36 y^{2} - 25\right)^{3}}{27} + \frac{\left(- \frac{2 y^{6}}{27} + \frac{2 y^{2} \left(y^{4} - 36 y^{2} + 25\right)}{3} - \frac{9}{2}\right)^{2}}{4}} + \frac{9}{4}}} + 2 \sqrt[3]{\frac{y^{6}}{27} - \frac{y^{2} \left(y^{4} - 36 y^{2} + 25\right)}{3} + \sqrt{\frac{\left(- \frac{4 y^{4}}{3} + 36 y^{2} - 25\right)^{3}}{27} + \frac{\left(- \frac{2 y^{6}}{27} + \frac{2 y^{2} \left(y^{4} - 36 y^{2} + 25\right)}{3} - \frac{9}{2}\right)^{2}}{4}} + \frac{9}{4}}}}}}{2} & \text{otherwise} \end{cases}\right)$$
(((x - Piecewise((-sqrt(-2*(-9/2 - 2*y^6/27 + 2*y^2*(25 + y^4 - 36*y^2)/3)^(1/3) - 4*y^2/3)/2 - sqrt(-12/sqrt(-2*(-9/2 - 2*y^6/27 + 2*y^2*(25 + y^4 - 36*y^2)/3)^(1/3) - 4*y^2/3) + 2*(-9/2 - 2*y^6/27 + 2*y^2*(25 + y^4 - 36*y^2)/3)^(1/3) - 8*y^2/3)/2, 25 - 36*y^2 + 4*y^4/3 = 0), (-sqrt(2*(9/4 + sqrt((-9/2 - 2*y^6/27 + 2*y^2*(25 + y^4 - 36*y^2)/3)^2/4 + (-25 + 36*y^2 - 4*y^4/3)^3/27) + y^6/27 - y^2*(25 + y^4 - 36*y^2)/3)^(1/3) - 4*y^2/3 - 2*(-25 + 36*y^2 - 4*y^4/3)/(3*(9/4 + sqrt((-9/2 - 2*y^6/27 + 2*y^2*(25 + y^4 - 36*y^2)/3)^2/4 + (-25 + 36*y^2 - 4*y^4/3)^3/27) + y^6/27 - y^2*(25 + y^4 - 36*y^2)/3)^(1/3)))/2 - sqrt(-12/sqrt(2*(9/4 + sqrt((-9/2 - 2*y^6/27 + 2*y^2*(25 + y^4 - 36*y^2)/3)^2/4 + (-25 + 36*y^2 - 4*y^4/3)^3/27) + y^6/27 - y^2*(25 + y^4 - 36*y^2)/3)^(1/3) - 4*y^2/3 - 2*(-25 + 36*y^2 - 4*y^4/3)/(3*(9/4 + sqrt((-9/2 - 2*y^6/27 + 2*y^2*(25 + y^4 - 36*y^2)/3)^2/4 + (-25 + 36*y^2 - 4*y^4/3)^3/27) + y^6/27 - y^2*(25 + y^4 - 36*y^2)/3)^(1/3))) - 2*(9/4 + sqrt((-9/2 - 2*y^6/27 + 2*y^2*(25 + y^4 - 36*y^2)/3)^2/4 + (-25 + 36*y^2 - 4*y^4/3)^3/27) + y^6/27 - y^2*(25 + y^4 - 36*y^2)/3)^(1/3) - 8*y^2/3 + 2*(-25 + 36*y^2 - 4*y^4/3)/(3*(9/4 + sqrt((-9/2 - 2*y^6/27 + 2*y^2*(25 + y^4 - 36*y^2)/3)^2/4 + (-25 + 36*y^2 - 4*y^4/3)^3/27) + y^6/27 - y^2*(25 + y^4 - 36*y^2)/3)^(1/3)))/2, True)))*(x - Piecewise((sqrt(-12/sqrt(-2*(-9/2 - 2*y^6/27 + 2*y^2*(25 + y^4 - 36*y^2)/3)^(1/3) - 4*y^2/3) + 2*(-9/2 - 2*y^6/27 + 2*y^2*(25 + y^4 - 36*y^2)/3)^(1/3) - 8*y^2/3)/2 - sqrt(-2*(-9/2 - 2*y^6/27 + 2*y^2*(25 + y^4 - 36*y^2)/3)^(1/3) - 4*y^2/3)/2, 25 - 36*y^2 + 4*y^4/3 = 0), (sqrt(-12/sqrt(2*(9/4 + sqrt((-9/2 - 2*y^6/27 + 2*y^2*(25 + y^4 - 36*y^2)/3)^2/4 + (-25 + 36*y^2 - 4*y^4/3)^3/27) + y^6/27 - y^2*(25 + y^4 - 36*y^2)/3)^(1/3) - 4*y^2/3 - 2*(-25 + 36*y^2 - 4*y^4/3)/(3*(9/4 + sqrt((-9/2 - 2*y^6/27 + 2*y^2*(25 + y^4 - 36*y^2)/3)^2/4 + (-25 + 36*y^2 - 4*y^4/3)^3/27) + y^6/27 - y^2*(25 + y^4 - 36*y^2)/3)^(1/3))) - 2*(9/4 + sqrt((-9/2 - 2*y^6/27 + 2*y^2*(25 + y^4 - 36*y^2)/3)^2/4 + (-25 + 36*y^2 - 4*y^4/3)^3/27) + y^6/27 - y^2*(25 + y^4 - 36*y^2)/3)^(1/3) - 8*y^2/3 + 2*(-25 + 36*y^2 - 4*y^4/3)/(3*(9/4 + sqrt((-9/2 - 2*y^6/27 + 2*y^2*(25 + y^4 - 36*y^2)/3)^2/4 + (-25 + 36*y^2 - 4*y^4/3)^3/27) + y^6/27 - y^2*(25 + y^4 - 36*y^2)/3)^(1/3)))/2 - sqrt(2*(9/4 + sqrt((-9/2 - 2*y^6/27 + 2*y^2*(25 + y^4 - 36*y^2)/3)^2/4 + (-25 + 36*y^2 - 4*y^4/3)^3/27) + y^6/27 - y^2*(25 + y^4 - 36*y^2)/3)^(1/3) - 4*y^2/3 - 2*(-25 + 36*y^2 - 4*y^4/3)/(3*(9/4 + sqrt((-9/2 - 2*y^6/27 + 2*y^2*(25 + y^4 - 36*y^2)/3)^2/4 + (-25 + 36*y^2 - 4*y^4/3)^3/27) + y^6/27 - y^2*(25 + y^4 - 36*y^2)/3)^(1/3)))/2, True))))*(x - Piecewise((sqrt(-2*(-9/2 - 2*y^6/27 + 2*y^2*(25 + y^4 - 36*y^2)/3)^(1/3) - 4*y^2/3)/2 - sqrt(2*(-9/2 - 2*y^6/27 + 2*y^2*(25 + y^4 - 36*y^2)/3)^(1/3) + 12/sqrt(-2*(-9/2 - 2*y^6/27 + 2*y^2*(25 + y^4 - 36*y^2)/3)^(1/3) - 4*y^2/3) - 8*y^2/3)/2, 25 - 36*y^2 + 4*y^4/3 = 0), (sqrt(2*(9/4 + sqrt((-9/2 - 2*y^6/27 + 2*y^2*(25 + y^4 - 36*y^2)/3)^2/4 + (-25 + 36*y^2 - 4*y^4/3)^3/27) + y^6/27 - y^2*(25 + y^4 - 36*y^2)/3)^(1/3) - 4*y^2/3 - 2*(-25 + 36*y^2 - 4*y^4/3)/(3*(9/4 + sqrt((-9/2 - 2*y^6/27 + 2*y^2*(25 + y^4 - 36*y^2)/3)^2/4 + (-25 + 36*y^2 - 4*y^4/3)^3/27) + y^6/27 - y^2*(25 + y^4 - 36*y^2)/3)^(1/3)))/2 - sqrt(-2*(9/4 + sqrt((-9/2 - 2*y^6/27 + 2*y^2*(25 + y^4 - 36*y^2)/3)^2/4 + (-25 + 36*y^2 - 4*y^4/3)^3/27) + y^6/27 - y^2*(25 + y^4 - 36*y^2)/3)^(1/3) + 12/sqrt(2*(9/4 + sqrt((-9/2 - 2*y^6/27 + 2*y^2*(25 + y^4 - 36*y^2)/3)^2/4 + (-25 + 36*y^2 - 4*y^4/3)^3/27) + y^6/27 - y^2*(25 + y^4 - 36*y^2)/3)^(1/3) - 4*y^2/3 - 2*(-25 + 36*y^2 - 4*y^4/3)/(3*(9/4 + sqrt((-9/2 - 2*y^6/27 + 2*y^2*(25 + y^4 - 36*y^2)/3)^2/4 + (-25 + 36*y^2 - 4*y^4/3)^3/27) + y^6/27 - y^2*(25 + y^4 - 36*y^2)/3)^(1/3))) - 8*y^2/3 + 2*(-25 + 36*y^2 - 4*y^4/3)/(3*(9/4 + sqrt((-9/2 - 2*y^6/27 + 2*y^2*(25 + y^4 - 36*y^2)/3)^2/4 + (-25 + 36*y^2 - 4*y^4/3)^3/27) + y^6/27 - y^2*(25 + y^4 - 36*y^2)/3)^(1/3)))/2, True))))*(x - Piecewise((sqrt(-2*(-9/2 - 2*y^6/27 + 2*y^2*(25 + y^4 - 36*y^2)/3)^(1/3) - 4*y^2/3)/2 + sqrt(2*(-9/2 - 2*y^6/27 + 2*y^2*(25 + y^4 - 36*y^2)/3)^(1/3) + 12/sqrt(-2*(-9/2 - 2*y^6/27 + 2*y^2*(25 + y^4 - 36*y^2)/3)^(1/3) - 4*y^2/3) - 8*y^2/3)/2, 25 - 36*y^2 + 4*y^4/3 = 0), (sqrt(2*(9/4 + sqrt((-9/2 - 2*y^6/27 + 2*y^2*(25 + y^4 - 36*y^2)/3)^2/4 + (-25 + 36*y^2 - 4*y^4/3)^3/27) + y^6/27 - y^2*(25 + y^4 - 36*y^2)/3)^(1/3) - 4*y^2/3 - 2*(-25 + 36*y^2 - 4*y^4/3)/(3*(9/4 + sqrt((-9/2 - 2*y^6/27 + 2*y^2*(25 + y^4 - 36*y^2)/3)^2/4 + (-25 + 36*y^2 - 4*y^4/3)^3/27) + y^6/27 - y^2*(25 + y^4 - 36*y^2)/3)^(1/3)))/2 + sqrt(-2*(9/4 + sqrt((-9/2 - 2*y^6/27 + 2*y^2*(25 + y^4 - 36*y^2)/3)^2/4 + (-25 + 36*y^2 - 4*y^4/3)^3/27) + y^6/27 - y^2*(25 + y^4 - 36*y^2)/3)^(1/3) + 12/sqrt(2*(9/4 + sqrt((-9/2 - 2*y^6/27 + 2*y^2*(25 + y^4 - 36*y^2)/3)^2/4 + (-25 + 36*y^2 - 4*y^4/3)^3/27) + y^6/27 - y^2*(25 + y^4 - 36*y^2)/3)^(1/3) - 4*y^2/3 - 2*(-25 + 36*y^2 - 4*y^4/3)/(3*(9/4 + sqrt((-9/2 - 2*y^6/27 + 2*y^2*(25 + y^4 - 36*y^2)/3)^2/4 + (-25 + 36*y^2 - 4*y^4/3)^3/27) + y^6/27 - y^2*(25 + y^4 - 36*y^2)/3)^(1/3))) - 8*y^2/3 + 2*(-25 + 36*y^2 - 4*y^4/3)/(3*(9/4 + sqrt((-9/2 - 2*y^6/27 + 2*y^2*(25 + y^4 - 36*y^2)/3)^2/4 + (-25 + 36*y^2 - 4*y^4/3)^3/27) + y^6/27 - y^2*(25 + y^4 - 36*y^2)/3)^(1/3)))/2, True)))
Powers
[src]
4 4 2 2 2 25 + x + y - 36*y - 6*x + 2*x *y
$$x^{4} + 2 x^{2} y^{2} - 6 x + y^{4} - 36 y^{2} + 25$$
25 + x^4 + y^4 - 36*y^2 - 6*x + 2*x^2*y^2
Numerical answer
[src]
25.0 + x^4 + y^4 - 6.0*x - 36.0*y^2 + 2.0*x^2*y^2
25.0 + x^4 + y^4 - 6.0*x - 36.0*y^2 + 2.0*x^2*y^2
Trigonometric part
[src]
4 4 2 2 2 25 + x + y - 36*y - 6*x + 2*x *y
$$x^{4} + 2 x^{2} y^{2} - 6 x + y^{4} - 36 y^{2} + 25$$
25 + x^4 + y^4 - 36*y^2 - 6*x + 2*x^2*y^2
Combining rational expressions
[src]
4 4 2 2 2 25 + x + y - 36*y - 6*x + 2*x *y
$$x^{4} + 2 x^{2} y^{2} - 6 x + y^{4} - 36 y^{2} + 25$$
25 + x^4 + y^4 - 36*y^2 - 6*x + 2*x^2*y^2
Rational denominator
[src]
4 4 2 2 2 25 + x + y - 36*y - 6*x + 2*x *y
$$x^{4} + 2 x^{2} y^{2} - 6 x + y^{4} - 36 y^{2} + 25$$
25 + x^4 + y^4 - 36*y^2 - 6*x + 2*x^2*y^2
Combinatorics
[src]
4 4 2 2 2 25 + x + y - 36*y - 6*x + 2*x *y
$$x^{4} + 2 x^{2} y^{2} - 6 x + y^{4} - 36 y^{2} + 25$$
25 + x^4 + y^4 - 36*y^2 - 6*x + 2*x^2*y^2
Assemble expression
[src]
4 4 2 2 2 25 + x + y - 36*y - 6*x + 2*x *y
$$x^{4} + 2 x^{2} y^{2} - 6 x + y^{4} - 36 y^{2} + 25$$
4 4 2 / 2\ 25 + x + y - 6*x + y *\-36 + 2*x /
$$x^{4} - 6 x + y^{4} + y^{2} \left(2 x^{2} - 36\right) + 25$$
25 + x^4 + y^4 - 6*x + y^2*(-36 + 2*x^2)
Common denominator
[src]
4 4 2 2 2 25 + x + y - 36*y - 6*x + 2*x *y
$$x^{4} + 2 x^{2} y^{2} - 6 x + y^{4} - 36 y^{2} + 25$$
25 + x^4 + y^4 - 36*y^2 - 6*x + 2*x^2*y^2