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Expression simplification/ Factorization polynomials/ z^3+27

Factor polynomial z^3+27

An expression to simplify:

The solution

You have entered [src] 
 3     
z  + 27
$$z^{3} + 27$$ 
z^3 + 27
Factorization [src] 
        /                ___\ /                ___\
        |      3   3*I*\/ 3 | |      3   3*I*\/ 3 |
(x + 3)*|x + - - + ---------|*|x + - - - ---------|
        \      2       2    / \      2       2    /
$$\left(x + 3\right) \left(x + \left(- \frac{3}{2} + \frac{3 \sqrt{3} i}{2}\right)\right) \left(x + \left(- \frac{3}{2} - \frac{3 \sqrt{3} i}{2}\right)\right)$$ 
((x + 3)*(x - 3/2 + 3*i*sqrt(3)/2))*(x - 3/2 - 3*i*sqrt(3)/2)
Numerical answer [src] 
27.0 + z^3
27.0 + z^3
Combinatorics [src] 
        /     2      \
(3 + z)*\9 + z  - 3*z/
$$\left(z + 3\right) \left(z^{2} - 3 z + 9\right)$$ 
(3 + z)*(9 + z^2 - 3*z)
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