Mister Exam

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)
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)
Numerical answer [src]
27.0 + x^3
27.0 + x^3