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Expression simplification/ Factorization polynomials/ x^6-729

Factor polynomial x^6-729

An expression to simplify:

The solution

You have entered [src] 
 6      
x  - 729
$$x^{6} - 729$$ 
x^6 - 729
Factorization [src] 
                /              ___\ /              ___\ /                ___\ /                ___\
                |    3   3*I*\/ 3 | |    3   3*I*\/ 3 | |      3   3*I*\/ 3 | |      3   3*I*\/ 3 |
(x + 3)*(x - 3)*|x + - + ---------|*|x + - - ---------|*|x + - - + ---------|*|x + - - - ---------|
                \    2       2    / \    2       2    / \      2       2    / \      2       2    /
$$\left(x - 3\right) \left(x + 3\right) \left(x + \left(\frac{3}{2} + \frac{3 \sqrt{3} i}{2}\right)\right) \left(x + \left(\frac{3}{2} - \frac{3 \sqrt{3} i}{2}\right)\right) \left(x + \left(- \frac{3}{2} + \frac{3 \sqrt{3} i}{2}\right)\right) \left(x + \left(- \frac{3}{2} - \frac{3 \sqrt{3} i}{2}\right)\right)$$ 
(((((x + 3)*(x - 3))*(x + 3/2 + 3*i*sqrt(3)/2))*(x + 3/2 - 3*i*sqrt(3)/2))*(x - 3/2 + 3*i*sqrt(3)/2))*(x - 3/2 - 3*i*sqrt(3)/2)
Numerical answer [src] 
-729.0 + x^6
-729.0 + x^6
Combinatorics [src] 
                 /     2      \ /     2      \
(-3 + x)*(3 + x)*\9 + x  - 3*x/*\9 + x  + 3*x/
$$\left(x - 3\right) \left(x + 3\right) \left(x^{2} - 3 x + 9\right) \left(x^{2} + 3 x + 9\right)$$ 
(-3 + x)*(3 + x)*(9 + x^2 - 3*x)*(9 + x^2 + 3*x)
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