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Expression simplification/ Factorization polynomials/ m^3+n^3

Factor polynomial m^3+n^3

An expression to simplify:

The solution

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