SOLUTION: I need help with this problem, I am evidently missing a step. Here is the problem: 3x^2(r + 3s) -6y^2(r + 3s) The answer in the book is: 3(r + 3s)(x^2 - 2y^2) I can not fig

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons -> SOLUTION: I need help with this problem, I am evidently missing a step. Here is the problem: 3x^2(r + 3s) -6y^2(r + 3s) The answer in the book is: 3(r + 3s)(x^2 - 2y^2) I can not fig      Log On


   

Question 6253: I need help with this problem, I am evidently missing a step.
Here is the problem:
3x^2(r + 3s) -6y^2(r + 3s)
The answer in the book is: 3(r + 3s)(x^2 - 2y^2)
I can not figure out how this is the answer, will you please show each step.
Thanks.
tsj







Answer by rapaljer(4671) About Me  (Show Source):
You can put this solution on YOUR website!
Do you see that you have TWO common factors here? There is a common factor of 3 and also a common factor of (r+3s). Take out ALL common factors:
3x%5E2%28r+%2B+3s%29+-6y%5E2%28r+%2B+3s%29
3(r+3x)(____+____) , where what is left in the first position is x%5E2, and in the second 2y%5E2

3%28r%2B3s%29%28x%5E2-2y%5E2%29

R^2 at SCC