SOLUTION: simplify the following algebraic expression Multiply: (3x + 3y)^2(2x + 3y)

Algebra ->  Algebra  -> Expressions -> SOLUTION: simplify the following algebraic expression Multiply: (3x + 3y)^2(2x + 3y)      Log On

Ad: Algebrator™ solves your algebra problems and provides step-by-step explanations!
Ad: Algebra Solved!™: algebra software solves algebra homework problems with step-by-step help!

   

Question 35395: simplify the following algebraic expression
Multiply: (3x + 3y)^2(2x + 3y)
Answer by lyra(94) About Me  (Show Source):
You can put this solution on YOUR website!
Well %283x+%2B+3y%29%5E2%282x+%2B+3y%29
%283x+%2B+3y%29%5E2=%283x%2B3y%29%283x%2B3y%29=9x%5E2%2B6xy%2B9y%5E2
%289x%5E2%2B6xy%2B9y%5E2%29%282x%2B3y%29=18x%5E3%2B12x%5E2y%2B18xy%5E2%2B27x%5E2y%2B18xy%5E2%2B27y%5E3=18x%5E3%2B39x%5E2y%2B36xy%5E2%2B27y%5E3 The last equation is your answer.
Hope this helps,
lyra