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Expression simplification/ Factorization polynomials/ z^3+i

Factor polynomial z^3+i

An expression to simplify:

The solution

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