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Expression simplification/ Factorization polynomials/ x^6+64

Factor polynomial x^6+64

An expression to simplify:

The solution

You have entered [src] 
 6     
x  + 64
$$x^{6} + 64$$ 
x^6 + 64
Factorization [src] 
                    /          ___\ /           ___\ /        ___    \ /           ___\
(x + 2*I)*(x - 2*I)*\x + I + \/ 3 /*\x + -I + \/ 3 /*\x + - \/ 3  + I/*\x + -I - \/ 3 /
$$\left(x - 2 i\right) \left(x + 2 i\right) \left(x + \left(\sqrt{3} + i\right)\right) \left(x + \left(\sqrt{3} - i\right)\right) \left(x + \left(- \sqrt{3} + i\right)\right) \left(x + \left(- \sqrt{3} - i\right)\right)$$ 
(((((x + 2*i)*(x - 2*i))*(x + i + sqrt(3)))*(x - i + sqrt(3)))*(x - sqrt(3) + i))*(x - i - sqrt(3))
Numerical answer [src] 
64.0 + x^6
64.0 + x^6
Combinatorics [src] 
/     2\ /      4      2\
\4 + x /*\16 + x  - 4*x /
$$\left(x^{2} + 4\right) \left(x^{4} - 4 x^{2} + 16\right)$$ 
(4 + x^2)*(16 + x^4 - 4*x^2)
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