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

Printable View

- Oct 10th 2010, 04:12 AMLilSimplify expression...
$\displaystyle \left ( m^\frac{1}{3}+n^{\frac{1}{3}} \right )\left ( m^{\frac{2}{3}}-m^{\frac{1}{3}}n^{\frac{1}{3}}+n^{\frac{2}{3}} \right )$

- Oct 10th 2010, 04:13 AMProve It
Try either expanding by brute force, or using the sum of two cubes rule.

- Oct 10th 2010, 04:34 AMLil
$\displaystyle ...=\left ( m^{\frac{1}{3}} \right )^{3}+\left ( n^{\frac{1}{3}} \right )^{3}=m+n$ (Thinking)

- Oct 10th 2010, 04:59 AMlinalg123