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)