# Simplify expression...

• Oct 10th 2010, 04:12 AM
Lil
Simplify 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 AM
Prove It
Try either expanding by brute force, or using the sum of two cubes rule.
• Oct 10th 2010, 04:34 AM
Lil
$\displaystyle ...=\left ( m^{\frac{1}{3}} \right )^{3}+\left ( n^{\frac{1}{3}} \right )^{3}=m+n$ (Thinking)
• Oct 10th 2010, 04:59 AM
linalg123
Quote:

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

correct
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