SOLUTION: Multiply. (r+g)(r^2-rg+g^2)

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Question 553040: Multiply.
(r+g)(r^2-rg+g^2)

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

%28r%2Bg%29%28r%5E2-r%2Ag%2Bg%5E2%29 Start with the given expression.


r%28r%5E2-r%2Ag%2Bg%5E2%29%2Bg%28r%5E2-r%2Ag%2Bg%5E2%29 Expand.


Distribute.


r%5E3-g%2Ar%5E2%2Bg%5E2%2Ar%2Bg%2Ar%5E2-g%5E2%2Ar%2Bg%5E3 Multiply.


r%5E3%2Bg%5E3 Now combine like terms.


So %28r%2Bg%29%28r%5E2-r%2Ag%2Bg%5E2%29 expands to r%5E3%2Bg%5E3.


In other words, %28r%2Bg%29%28r%5E2-r%2Ag%2Bg%5E2%29=r%5E3%2Bg%5E3.


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Jim