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Expression simplification/ Factorization polynomials/ x^6-y^6

Factor polynomial x^6-y^6

An expression to simplify:

The solution

You have entered [src] 
 6    6
x  - y
$$x^{6} - y^{6}$$ 
x^6 - y^6
Factorization [src] 
                /      /          ___\\ /      /          ___\\ /      /        ___\\ /      /        ___\\
                |      |  1   I*\/ 3 || |      |  1   I*\/ 3 || |      |1   I*\/ 3 || |      |1   I*\/ 3 ||
(x + y)*(x - y)*|x - y*|- - - -------||*|x - y*|- - + -------||*|x - y*|- - -------||*|x - y*|- + -------||
                \      \  2      2   // \      \  2      2   // \      \2      2   // \      \2      2   //
$$\left(x - y\right) \left(x + y\right) \left(x - y \left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right)\right) \left(x - y \left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right)\right) \left(x - y \left(\frac{1}{2} - \frac{\sqrt{3} i}{2}\right)\right) \left(x - y \left(\frac{1}{2} + \frac{\sqrt{3} i}{2}\right)\right)$$ 
(((((x + y)*(x - y))*(x - y*(-1/2 - i*sqrt(3)/2)))*(x - y*(-1/2 + i*sqrt(3)/2)))*(x - y*(1/2 - i*sqrt(3)/2)))*(x - y*(1/2 + i*sqrt(3)/2))
Combinatorics [src] 
                / 2    2      \ / 2    2      \
(x + y)*(x - y)*\x  + y  + x*y/*\x  + y  - x*y/
$$\left(x - y\right) \left(x + y\right) \left(x^{2} - x y + y^{2}\right) \left(x^{2} + x y + y^{2}\right)$$ 
(x + y)*(x - y)*(x^2 + y^2 + x*y)*(x^2 + y^2 - x*y)
Numerical answer [src] 
x^6 - y^6
x^6 - y^6
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