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Expression simplification/ Factorization polynomials/ c^3-1

Factor polynomial c^3-1

An expression to simplify:

The solution

You have entered [src] 
 3    
c  - 1
$$c^{3} - 1$$ 
c^3 - 1
Factorization [src] 
        /            ___\ /            ___\
        |    1   I*\/ 3 | |    1   I*\/ 3 |
(c - 1)*|c + - + -------|*|c + - - -------|
        \    2      2   / \    2      2   /
$$\left(c - 1\right) \left(c + \left(\frac{1}{2} + \frac{\sqrt{3} i}{2}\right)\right) \left(c + \left(\frac{1}{2} - \frac{\sqrt{3} i}{2}\right)\right)$$ 
((c - 1)*(c + 1/2 + i*sqrt(3)/2))*(c + 1/2 - i*sqrt(3)/2)
Combinatorics [src] 
         /         2\
(-1 + c)*\1 + c + c /
$$\left(c - 1\right) \left(c^{2} + c + 1\right)$$ 
(-1 + c)*(1 + c + c^2)
Numerical answer [src] 
-1.0 + c^3
-1.0 + c^3
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