Mister Exam
Factor polynomial x^3-y^6
The solution
Factorization
[src]
/ / ___\\ / / ___\\
/ 2\ | 2 | 1 I*\/ 3 || | 2 | 1 I*\/ 3 ||
\x - y /*|x - y *|- - - -------||*|x - y *|- - + -------||
\ \ 2 2 // \ \ 2 2 //
$$\left(x - y^{2}\right) \left(x - y^{2} \left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right)\right) \left(x - y^{2} \left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right)\right)$$
((x - y^2)*(x - y^2*(-1/2 - i*sqrt(3)/2)))*(x - y^2*(-1/2 + i*sqrt(3)/2))
Combinatorics
[src]
/ 2\ / 2 4 2\ \x - y /*\x + y + x*y /
$$\left(x - y^{2}\right) \left(x^{2} + x y^{2} + y^{4}\right)$$
(x - y^2)*(x^2 + y^4 + x*y^2)