SOLUTION: Multiply. (r + p)(r^2 - rp + p^2)

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Question 133109: Multiply.
(r + p)(r^2 - rp + p^2)

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

%28r%2Bp%29%28r%5E2-rp%2Bp%5E2%29 Start with the given expression



r%28r%5E2-rp%2Bp%5E2%29%2Bp%28r%5E2-rp%2Bp%5E2%29 Expand the expression. Remember something like %28a%2Bb%29%28c%2Bd%2Be%29 expands to a%28c%2Bd%2Be%29%2Bb%28c%2Bd%2Be%29


Distribute


r%5E3-r%5E2p%2Brp%5E2%2Bpr%5E2-p%5E2r%2Bp%5E3 Multiply


r%5E3%2Bp%5E3 Combine like terms



So %28r%2Bp%29%28r%5E2-rp%2Bp%5E2%29 expands and simplifies to r%5E3%2Bp%5E3.

In other words, %28r%2Bp%29%28r%5E2-rp%2Bp%5E2%29=r%5E3%2Bp%5E3