Mister Exam

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)