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Expression simplification/ Factorization polynomials/ x^3-27

Factor polynomial x^3-27

An expression to simplify:

The solution

You have entered [src] 
 3     
x  - 27
$$x^{3} - 27$$ 
x^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 + x^3
-27.0 + x^3
Combinatorics [src] 
         /     2      \
(-3 + x)*\9 + x  + 3*x/
$$\left(x - 3\right) \left(x^{2} + 3 x + 9\right)$$ 
(-3 + x)*(9 + x^2 + 3*x)
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