Mister Exam

Factor polynomial x^3+y^6

An expression to simplify:

The solution

You have entered [src]
 3    6
x  + y 
$$x^{3} + y^{6}$$
x^3 + y^6
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))
Numerical answer [src]
x^3 + y^6
x^3 + y^6
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)