SOLUTION: multiply (w+g)(w^2-wg+g^2)

Algebra ->  Algebra  -> Polynomials-and-rational-expressions -> SOLUTION: multiply (w+g)(w^2-wg+g^2)      Log On

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

   

Question 147385: multiply (w+g)(w^2-wg+g^2)
Answer by jim_thompson5910(28715) About Me  (Show Source):
You can put this solution on YOUR website!
%28w%2Bg%29%28w%5E2-w%2Ag%2Bg%5E2%29 Start with the given expression.


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


Distribute.


w%5E3-w%5E2%2Ag%2Bw%2Ag%5E2%2Bw%5E2%2Ag-w%2Ag%5E2%2Bg%5E3 Multiply.


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


So %28w%2Bg%29%28w%5E2-w%2Ag%2Bg%5E2%29 expands and simplifies to w%5E3%2Bg%5E3.


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