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Expression simplification/ Factorization polynomials/ x^8-16

Factor polynomial x^8-16

An expression to simplify:

The solution

You have entered [src] 
 8     
x  - 16
$$x^{8} - 16$$ 
x^8 - 16
Factorization [src] 
/      ___\ /      ___\ /        ___\ /        ___\                                                  
\x + \/ 2 /*\x - \/ 2 /*\x + I*\/ 2 /*\x - I*\/ 2 /*(x + 1 + I)*(x + 1 - I)*(x + -1 + I)*(x + -1 - I)
$$\left(x - \sqrt{2}\right) \left(x + \sqrt{2}\right) \left(x + \sqrt{2} i\right) \left(x - \sqrt{2} i\right) \left(x + \left(1 + i\right)\right) \left(x + \left(1 - i\right)\right) \left(x + \left(-1 + i\right)\right) \left(x + \left(-1 - i\right)\right)$$ 
(((((((x + sqrt(2))*(x - sqrt(2)))*(x + i*sqrt(2)))*(x - i*sqrt(2)))*(x + 1 + i))*(x + 1 - i))*(x - 1 + i))*(x - 1 - i)
Numerical answer [src] 
-16.0 + x^8
-16.0 + x^8
Combinatorics [src] 
/      2\ /     2\ /     2      \ /     2      \
\-2 + x /*\2 + x /*\2 + x  - 2*x/*\2 + x  + 2*x/
$$\left(x^{2} - 2\right) \left(x^{2} + 2\right) \left(x^{2} - 2 x + 2\right) \left(x^{2} + 2 x + 2\right)$$ 
(-2 + x^2)*(2 + x^2)*(2 + x^2 - 2*x)*(2 + x^2 + 2*x)
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