SOLUTION: factor, (show all stages, result of factoring out a GCF before taking resulting polynomial and factoring it again)Check answer: 9x^2-36y^2, Please tell me if this is right and coul

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: factor, (show all stages, result of factoring out a GCF before taking resulting polynomial and factoring it again)Check answer: 9x^2-36y^2, Please tell me if this is right and coul      Log On


   

Question 168713: factor, (show all stages, result of factoring out a GCF before taking resulting polynomial and factoring it again)Check answer: 9x^2-36y^2, Please tell me if this is right and could you please show me how to check it. 9x^2*xy^2+36y^2*xy, common factor is 9. Then I factored out 9xy: 9xy(1*xy+4)
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

9x%5E2-36y%5E2 Start with the given expression


9%28x%5E2-4y%5E2%29 Factor out the GCF 9


Now let's focus on the inner expression x%5E2-4y%5E2




------------------------------------------------------------

x%5E2-4y%5E2 Start with the inner expression.


%28x%29%5E2-4y%5E2 Rewrite x%5E2 as %28x%29%5E2.


%28x%29%5E2-%282y%29%5E2 Rewrite 4y%5E2 as %282y%29%5E2.


Notice how we have a difference of squares. So let's use the difference of squares formula A%5E2-B%5E2=%28A%2BB%29%28A-B%29 to factor the expression:


%28x%2B2y%29%28x-2y%29 Factor the expression using the difference of squares.


So x%5E2-4y%5E2 factors to %28x%2B2y%29%28x-2y%29.

------------------------------------------------------------





Answer:
So 9x%5E2-36y%5E2 completely factors to 9%28x%2B2y%29%28x-2y%29