SOLUTION: (x + 2y)3

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Question 202436: (x + 2y)3
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
%28x%2B2y%29%5E3 Start with the given expression.


%28x%2B2y%29%28x+%2B+2y%29%5E2 Factor


%28x%2B2y%29%28x%5E2%2B4xy%2B4y%5E2%29 FOIL


x%28x%5E2%2B4xy%2B4y%5E2%29%2B2y%28x%5E2%2B4xy%2B4y%5E2%29 Expand


x%5E3%2B4x%5E2%2Ay%2B4xy%5E2%2B2x%5E2%2Ay%2B8x%2Ay%5E2%2B8y%5E3 Distribute


x%5E3%2B6x%5E2%2Ay%2B12xy%5E2%2B8y%5E3 Combine like terms.


So %28x%2B2y%29%5E3=x%5E3%2B6x%5E2y%2B12xy%5E2%2B8y%5E3