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Expression simplification/ Factorization polynomials/ x^4+81

Factor polynomial x^4+81

An expression to simplify:

The solution

You have entered [src] 
 4     
x  + 81
$$x^{4} + 81$$ 
x^4 + 81
Factorization [src] 
/        ___         ___\ /        ___         ___\ /          ___         ___\ /          ___         ___\
|    3*\/ 2    3*I*\/ 2 | |    3*\/ 2    3*I*\/ 2 | |      3*\/ 2    3*I*\/ 2 | |      3*\/ 2    3*I*\/ 2 |
|x + ------- + ---------|*|x + ------- - ---------|*|x + - ------- + ---------|*|x + - ------- - ---------|
\       2          2    / \       2          2    / \         2          2    / \         2          2    /
$$\left(x + \left(\frac{3 \sqrt{2}}{2} - \frac{3 \sqrt{2} i}{2}\right)\right) \left(x + \left(\frac{3 \sqrt{2}}{2} + \frac{3 \sqrt{2} i}{2}\right)\right) \left(x + \left(- \frac{3 \sqrt{2}}{2} + \frac{3 \sqrt{2} i}{2}\right)\right) \left(x + \left(- \frac{3 \sqrt{2}}{2} - \frac{3 \sqrt{2} i}{2}\right)\right)$$ 
(((x + 3*sqrt(2)/2 + 3*i*sqrt(2)/2)*(x + 3*sqrt(2)/2 - 3*i*sqrt(2)/2))*(x - 3*sqrt(2)/2 + 3*i*sqrt(2)/2))*(x - 3*sqrt(2)/2 - 3*i*sqrt(2)/2)
Numerical answer [src] 
81.0 + x^4
81.0 + x^4
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