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Expression simplification/ Factorization polynomials/ x^6+1

Factor polynomial x^6+1

An expression to simplify:

The solution

You have entered [src] 
 6    
x  + 1
$$x^{6} + 1$$ 
x^6 + 1
Factorization [src] 
                /          ___\ /            ___\ /        ___    \ /            ___\
                |    I   \/ 3 | |      I   \/ 3 | |      \/ 3    I| |      I   \/ 3 |
(x + I)*(x - I)*|x + - + -----|*|x + - - + -----|*|x + - ----- + -|*|x + - - - -----|
                \    2     2  / \      2     2  / \        2     2/ \      2     2  /
$$\left(x - i\right) \left(x + i\right) \left(x + \left(\frac{\sqrt{3}}{2} + \frac{i}{2}\right)\right) \left(x + \left(\frac{\sqrt{3}}{2} - \frac{i}{2}\right)\right) \left(x + \left(- \frac{\sqrt{3}}{2} + \frac{i}{2}\right)\right) \left(x + \left(- \frac{\sqrt{3}}{2} - \frac{i}{2}\right)\right)$$ 
(((((x + i)*(x - i))*(x + i/2 + sqrt(3)/2))*(x - i/2 + sqrt(3)/2))*(x - sqrt(3)/2 + i/2))*(x - i/2 - sqrt(3)/2)
Combinatorics [src] 
/     2\ /     4    2\
\1 + x /*\1 + x  - x /
$$\left(x^{2} + 1\right) \left(x^{4} - x^{2} + 1\right)$$ 
(1 + x^2)*(1 + x^4 - x^2)
Numerical answer [src] 
1.0 + x^6
1.0 + x^6
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