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Factor polynomial:
y^3-2*y^2*z-4*y*z+8*z^2
y^3+2*y^2*x^2-2*x^3
y^3-1/27
y^3-100
Least common denominator:
x+x*(y/12/100)*z
(((x-x1)*(x-x2))/((x0-x1)*(x0-x2)))*y0+(((x-x0)*(x-x2))/((x1-x0)*(x1-x2)))*y1
(x/x-1+1)-x2/4*x2-1
(x/x+1+1)-x^2/4*x^2-1
Factor squared:
y^4-4*y^2-12
y^4+2*y^2+5
y^4+4*y^2+10
-y^4+3*y^2+6
How do you in partial fractions?:
sqrt((49/50-x^2/(193/2)^2)*5041)
4-4s-(s^2+s+1)*(4s^2-6)/((-s*(s^2+2*s+2)))
(2-i)^2-z/i+((4-i)*i^7)/(i-2)
1/(x^2+2x+1)
Identical expressions
y^ three + two *y^ two *x^ two - two *x^ three
y cubed plus 2 multiply by y squared multiply by x squared minus 2 multiply by x cubed
y to the power of three plus two multiply by y to the power of two multiply by x to the power of two minus two multiply by x to the power of three
y3+2*y2*x2-2*x3
y³+2*y²*x²-2*x³
y to the power of 3+2*y to the power of 2*x to the power of 2-2*x to the power of 3
y^3+2y^2x^2-2x^3
y3+2y2x2-2x3
Similar expressions
y^3+2*y^2*x^2+2*x^3
y^3-2*y^2*x^2-2*x^3

Expression simplification/ Factorization polynomials/ y^3+2*y^2*x^2-2*x^3

Factor polynomial y^3+2y^2x^2-2*x^3

The solution

You have entered [src]

 3      2  2      3
y  + 2*y *x  - 2*x

$$- 2 x^{3} + \left(x^{2} \cdot 2 y^{2} + y^{3}\right)$$

y^3 + (2*y^2)*x^2 - 2*x^3

General simplification [src]

 3      3      2  2
y  - 2*x  + 2*x *y

$$- 2 x^{3} + 2 x^{2} y^{2} + y^{3}$$

y^3 - 2*x^3 + 2*x^2*y^2

Factorization [src]

/      /         _______________                                                         \\ /      /         _______________                                                         \\ /      /         _______________                         \\
|      |        /         _____  /          ___\                                         || |      |        /         _____  /          ___\                                         || |      |        /         _____                          ||
|      |1      /   31   \/ 105   |  1   I*\/ 3 |                     1                   || |      |1      /   31   \/ 105   |  1   I*\/ 3 |                     1                   || |      |1      /   31   \/ 105               1           ||
|x - y*|- + 3 /   --- + ------- *|- - - -------| + --------------------------------------||*|x - y*|- + 3 /   --- + ------- *|- - + -------| + --------------------------------------||*|x - y*|- + 3 /   --- + -------  + ----------------------||
|      |3   \/    108      36    \  2      2   /                          _______________|| |      |3   \/    108      36    \  2      2   /                          _______________|| |      |3   \/    108      36             _______________||
|      |                                             /          ___\     /         _____ || |      |                                             /          ___\     /         _____ || |      |                                 /         _____ ||
|      |                                             |  1   I*\/ 3 |    /   31   \/ 105  || |      |                                             |  1   I*\/ 3 |    /   31   \/ 105  || |      |                                /   31   \/ 105  ||
|      |                                           9*|- - - -------|*3 /   --- + ------- || |      |                                           9*|- - + -------|*3 /   --- + ------- || |      |                           9*3 /   --- + ------- ||
\      \                                             \  2      2   / \/    108      36   // \      \                                             \  2      2   / \/    108      36   // \      \                             \/    108      36   //

$$\left(x - y \left(\frac{1}{3} + \left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{\sqrt{105}}{36} + \frac{31}{108}} + \frac{1}{9 \left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{\sqrt{105}}{36} + \frac{31}{108}}}\right)\right) \left(x - y \left(\frac{1}{3} + \frac{1}{9 \left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{\sqrt{105}}{36} + \frac{31}{108}}} + \left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{\sqrt{105}}{36} + \frac{31}{108}}\right)\right) \left(x - y \left(\frac{1}{9 \sqrt[3]{\frac{\sqrt{105}}{36} + \frac{31}{108}}} + \frac{1}{3} + \sqrt[3]{\frac{\sqrt{105}}{36} + \frac{31}{108}}\right)\right)$$

((x - y*(1/3 + (31/108 + sqrt(105)/36)^(1/3)*(-1/2 - i*sqrt(3)/2) + 1/(9*(-1/2 - i*sqrt(3)/2)*(31/108 + sqrt(105)/36)^(1/3))))*(x - y*(1/3 + (31/108 + sqrt(105)/36)^(1/3)*(-1/2 + i*sqrt(3)/2) + 1/(9*(-1/2 + i*sqrt(3)/2)*(31/108 + sqrt(105)/36)^(1/3)))))*(x - y*(1/3 + (31/108 + sqrt(105)/36)^(1/3) + 1/(9*(31/108 + sqrt(105)/36)^(1/3))))

Numerical answer [src]

y^3 - 2.0*x^3 + 2.0*x^2*y^2

y^3 - 2.0*x^3 + 2.0*x^2*y^2

Combinatorics [src]

 3      3      2  2
y  - 2*x  + 2*x *y

$$- 2 x^{3} + 2 x^{2} y^{2} + y^{3}$$

y^3 - 2*x^3 + 2*x^2*y^2

Powers [src]

 3      3      2  2
y  - 2*x  + 2*x *y

$$- 2 x^{3} + 2 x^{2} y^{2} + y^{3}$$

y^3 - 2*x^3 + 2*x^2*y^2

Combining rational expressions [src]

     3    2 /       2\
- 2*x  + y *\y + 2*x /

$$- 2 x^{3} + y^{2} \left(2 x^{2} + y\right)$$

-2*x^3 + y^2*(y + 2*x^2)

Trigonometric part [src]

 3      3      2  2
y  - 2*x  + 2*x *y

$$- 2 x^{3} + 2 x^{2} y^{2} + y^{3}$$

y^3 - 2*x^3 + 2*x^2*y^2

Common denominator [src]

 3      3      2  2
y  - 2*x  + 2*x *y

$$- 2 x^{3} + 2 x^{2} y^{2} + y^{3}$$

y^3 - 2*x^3 + 2*x^2*y^2

Assemble expression [src]

 3      3      2  2
y  - 2*x  + 2*x *y

$$- 2 x^{3} + 2 x^{2} y^{2} + y^{3}$$

y^3 - 2*x^3 + 2*x^2*y^2

Rational denominator [src]

 3      3      2  2
y  - 2*x  + 2*x *y

$$- 2 x^{3} + 2 x^{2} y^{2} + y^{3}$$

y^3 - 2*x^3 + 2*x^2*y^2

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How to use it?

Identical expressions

Similar expressions

Factor polynomial y^3+2*y^2*x^2-2*x^3

The solution

Factor polynomial y^3+2y^2x^2-2*x^3