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

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Question 599397: multiply (v+p)(v^2-vp+p^2)
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
%28v%2Bp%29%28v%5E2-vp%2Bp%5E2%29 Start with the given expression.


v%28v%5E2-vp%2Bp%5E2%29%2Bp%28v%5E2-vp%2Bp%5E2%29 Expand.


Distribute.


v%5E3-v%5E2p%2Bvp%5E2%2Bv%5E2p-vp%5E2%2Bp%5E3 Multiply.


v%5E3%2Bp%5E3 Combine like terms.


So %28v%2Bp%29%28v%5E2-vp%2Bp%5E2%29 fully expands and simplifies to v%5E3%2Bp%5E3


In other words, %28v%2Bp%29%28v%5E2-vp%2Bp%5E2%29=v%5E3%2Bp%5E3 for all values of 'v' and 'p'