SOLUTION: Mulitply (v+p)(v^2-vp+p^2)

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Question 399501: Mulitply
(v+p)(v^2-vp+p^2)
Answer by jsmallt9(3758) About Me  (Show Source):
You can put this solution on YOUR website!
%28v%2Bp%29%28v%5E2-vp%2Bp%5E2%29
The straightforward way to multiply this is to multiply each term of one factor by each term of the other factor. Then add/subtract like terms, if any. With 2 terms in the first factor and 3 terms in the second factor, this makes a total of 6 multiplications.

But there is a much faster way. Your expression matches the sum of cubes pattern, a%5E3%2Bb%5E3+=+%28a%2Bb%29%28a%5E2-ab%2Bb%5E2%29, except with v's and p's instead of a's and b's. If you recognize this then the pattern shows you how it multiplies:
%28v%2Bp%29%28v%5E2-vp%2Bp%5E2%29+=+v%5E3%2Bp%5E3