1. Simplify expression...

$\left ( m^\frac{1}{3}+n^{\frac{1}{3}} \right )\left ( m^{\frac{2}{3}}-m^{\frac{1}{3}}n^{\frac{1}{3}}+n^{\frac{2}{3}} \right )$

2. Try either expanding by brute force, or using the sum of two cubes rule.

3. $...=\left ( m^{\frac{1}{3}} \right )^{3}+\left ( n^{\frac{1}{3}} \right )^{3}=m+n$

4. Originally Posted by Lil
$...=\left ( m^{\frac{1}{3}} \right )^{3}+\left ( n^{\frac{1}{3}} \right )^{3}=m+n$
correct