SOLUTION: Multiply. (c+g)(c^2 - cg+g^2)

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Question 481210: Multiply. (c+g)(c^2 - cg+g^2)
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

%28c%2Bg%29%28c%5E2-cg%2Bg%5E2%29 Start with the given expression.


c%28c%5E2-cg%2Bg%5E2%29%2Bg%28c%5E2-cg%2Bg%5E2%29 Expand.


Distribute.


c%5E3-c%5E2%2Ag%2Bcg%5E2%2Bc%5E2%2Ag-cg%5E2%2Bg%5E3 Multiply.


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


So %28c%2Bg%29%28c%5E2-cg%2Bg%5E2%29 expands to c%5E3%2Bg%5E3.


In other words, %28c%2Bg%29%28c%5E2-cg%2Bg%5E2%29=c%5E3%2Bg%5E3.