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Expression simplification/ Factorization polynomials/ 24*x^6-44*x^4*y-18*x^2*y^3+33*y^4

Factor polynomial 24*x^6-44*x^4*y-18*x^2*y^3+33*y^4

An expression to simplify:

The solution

You have entered [src] 
    6       4         2  3       4
24*x  - 44*x *y - 18*x *y  + 33*y
$$33 y^{4} + \left(- 18 x^{2} y^{3} + \left(24 x^{6} - 44 x^{4} y\right)\right)$$ 
24*x^6 - 44*x^4*y - 18*x^2*y^3 + 33*y^4
General simplification [src] 
    6       4         4       2  3
24*x  + 33*y  - 44*y*x  - 18*x *y
$$24 x^{6} - 44 x^{4} y - 18 x^{2} y^{3} + 33 y^{4}$$ 
24*x^6 + 33*y^4 - 44*y*x^4 - 18*x^2*y^3
Factorization [src] 
                                      /                   ____\ /                   ____\ /                     ____\ /                     ____\
/      ____   ___\ /      ____   ___\ |      ___ 4 ___ 4 /  3 | |      ___ 4 ___ 4 /  3 | |        ___ 4 ___ 4 /  3 | |        ___ 4 ___ 4 /  3 |
|    \/ 66 *\/ y | |    \/ 66 *\/ y | |    \/ 2 *\/ 3 *\/  y  | |    \/ 2 *\/ 3 *\/  y  | |    I*\/ 2 *\/ 3 *\/  y  | |    I*\/ 2 *\/ 3 *\/  y  |
|x + ------------|*|x - ------------|*|x + -------------------|*|x - -------------------|*|x + ---------------------|*|x - ---------------------|
\         6      / \         6      / \             2         / \             2         / \              2          / \              2          /
$$\left(x - \frac{\sqrt{66} \sqrt{y}}{6}\right) \left(x + \frac{\sqrt{66} \sqrt{y}}{6}\right) \left(x + \frac{\sqrt{2} \sqrt[4]{3} \sqrt[4]{y^{3}}}{2}\right) \left(x - \frac{\sqrt{2} \sqrt[4]{3} \sqrt[4]{y^{3}}}{2}\right) \left(x + \frac{\sqrt{2} \sqrt[4]{3} i \sqrt[4]{y^{3}}}{2}\right) \left(x - \frac{\sqrt{2} \sqrt[4]{3} i \sqrt[4]{y^{3}}}{2}\right)$$ 
(((((x + sqrt(66)*sqrt(y)/6)*(x - sqrt(66)*sqrt(y)/6))*(x + sqrt(2)*3^(1/4)*(y^3)^(1/4)/2))*(x - sqrt(2)*3^(1/4)*(y^3)^(1/4)/2))*(x + i*sqrt(2)*3^(1/4)*(y^3)^(1/4)/2))*(x - i*sqrt(2)*3^(1/4)*(y^3)^(1/4)/2)
Numerical answer [src] 
24.0*x^6 + 33.0*y^4 - 18.0*x^2*y^3 - 44.0*y*x^4
24.0*x^6 + 33.0*y^4 - 18.0*x^2*y^3 - 44.0*y*x^4
Trigonometric part [src] 
    6       4         4       2  3
24*x  + 33*y  - 44*y*x  - 18*x *y
$$24 x^{6} - 44 x^{4} y - 18 x^{2} y^{3} + 33 y^{4}$$ 
24*x^6 + 33*y^4 - 44*y*x^4 - 18*x^2*y^3
Powers [src] 
    6       4         4       2  3
24*x  + 33*y  - 44*y*x  - 18*x *y
$$24 x^{6} - 44 x^{4} y - 18 x^{2} y^{3} + 33 y^{4}$$ 
24*x^6 + 33*y^4 - 44*y*x^4 - 18*x^2*y^3
Rational denominator [src] 
    6       4         4       2  3
24*x  + 33*y  - 44*y*x  - 18*x *y
$$24 x^{6} - 44 x^{4} y - 18 x^{2} y^{3} + 33 y^{4}$$ 
24*x^6 + 33*y^4 - 44*y*x^4 - 18*x^2*y^3
Assemble expression [src] 
    6       4         4       2  3
24*x  + 33*y  - 44*y*x  - 18*x *y
$$24 x^{6} - 44 x^{4} y - 18 x^{2} y^{3} + 33 y^{4}$$ 
24*x^6 + 33*y^4 - 44*y*x^4 - 18*x^2*y^3
Combinatorics [src] 
/           2\ /     3      4\
\-11*y + 6*x /*\- 3*y  + 4*x /
$$\left(6 x^{2} - 11 y\right) \left(4 x^{4} - 3 y^{3}\right)$$ 
(-11*y + 6*x^2)*(-3*y^3 + 4*x^4)
Combining rational expressions [src] 
    4      2 /     3      2 /           2\\
33*y  + 2*x *\- 9*y  + 2*x *\-11*y + 6*x //
$$2 x^{2} \left(2 x^{2} \left(6 x^{2} - 11 y\right) - 9 y^{3}\right) + 33 y^{4}$$ 
33*y^4 + 2*x^2*(-9*y^3 + 2*x^2*(-11*y + 6*x^2))
Common denominator [src] 
    6       4         4       2  3
24*x  + 33*y  - 44*y*x  - 18*x *y
$$24 x^{6} - 44 x^{4} y - 18 x^{2} y^{3} + 33 y^{4}$$ 
24*x^6 + 33*y^4 - 44*y*x^4 - 18*x^2*y^3
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