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