SOLUTION: i will enter it again. Sorry.(3x + 3y)^2(2x + 3y) Thank you alan3354

Algebra ->  Exponents -> SOLUTION: i will enter it again. Sorry.(3x + 3y)^2(2x + 3y) Thank you alan3354      Log On


   

Question 144174: i will enter it again. Sorry.(3x + 3y)^2(2x + 3y) Thank you alan3354
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
%283x+%2B+3y%29%5E2%282x+%2B+3y%29 Start with the given expression


%289x%5E2%2B18xy%2B9x%5E2%29%282x+%2B+3y%29 Foil %283x+%2B+3y%29%5E2 to get 9x%5E2%2B18xy%2B9y%5E2



%282x+%2B+3y%29%289x%5E2%2B18xy%2B9y%5E2%29 Rearrange the terms



2x%289x%5E2%2B18xy%2B9y%5E2%29%2B3y%289x%5E2%2B18xy%2B9y%5E2%29 Expand the expression. Remember something like %28a%2Bb%29%28c%2Bd%2Be%29 expands to a%28c%2Bd%2Be%29%2Bb%28c%2Bd%2Be%29


Distribute


18x%5E3%2B36x%5E2y%2B18xy%5E2%2B27x%5E2y%2B54xy%5E2%2B27y%5E3 Multiply


18x%5E3%2B63x%5E2y%2B72xy%5E2%2B27y%5E3 Combine like terms


So %283x+%2B+3y%29%5E2%282x+%2B+3y%29 expands and simplifies to 18x%5E3%2B63x%5E2y%2B72xy%5E2%2B27y%5E3