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Factor polynomial x^3+y^3

An expression to simplify:

The solution

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