Mister Exam

Other calculators

Expression simplification/ Factorization polynomials/ x^6+27

Factor polynomial x^6+27

An expression to simplify:

The solution

You have entered [src] 
 6     
x  + 27
$$x^{6} + 27$$ 
x^6 + 27
Factorization [src] 
                            /            ___\ /            ___\ /              ___\ /              ___\
/        ___\ /        ___\ |    3   I*\/ 3 | |    3   I*\/ 3 | |      3   I*\/ 3 | |      3   I*\/ 3 |
\x + I*\/ 3 /*\x - I*\/ 3 /*|x + - + -------|*|x + - - -------|*|x + - - + -------|*|x + - - - -------|
                            \    2      2   / \    2      2   / \      2      2   / \      2      2   /
$$\left(x - \sqrt{3} i\right) \left(x + \sqrt{3} i\right) \left(x + \left(\frac{3}{2} + \frac{\sqrt{3} i}{2}\right)\right) \left(x + \left(\frac{3}{2} - \frac{\sqrt{3} i}{2}\right)\right) \left(x + \left(- \frac{3}{2} + \frac{\sqrt{3} i}{2}\right)\right) \left(x + \left(- \frac{3}{2} - \frac{\sqrt{3} i}{2}\right)\right)$$ 
(((((x + i*sqrt(3))*(x - i*sqrt(3)))*(x + 3/2 + i*sqrt(3)/2))*(x + 3/2 - i*sqrt(3)/2))*(x - 3/2 + i*sqrt(3)/2))*(x - 3/2 - i*sqrt(3)/2)
Numerical answer [src] 
27.0 + x^6
27.0 + x^6
Combinatorics [src] 
/     2\ /     2      \ /     2      \
\3 + x /*\3 + x  - 3*x/*\3 + x  + 3*x/
$$\left(x^{2} + 3\right) \left(x^{2} - 3 x + 3\right) \left(x^{2} + 3 x + 3\right)$$ 
(3 + x^2)*(3 + x^2 - 3*x)*(3 + x^2 + 3*x)
    © Mister Exam – Calculator