SOLUTION: If i factoring the following binomials please let me know if this is right 25x^2-81y^2 25x^2-81y^2=(5x+y)^2=(9x-y)^2

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: If i factoring the following binomials please let me know if this is right 25x^2-81y^2 25x^2-81y^2=(5x+y)^2=(9x-y)^2      Log On


   

Question 75054: If i factoring the following binomials please let me know if this is right
25x^2-81y^2
25x^2-81y^2=(5x+y)^2=(9x-y)^2
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Factor:
25x%5E2-81y%5E2 Do you recognise this as the difference of two squares?
%285x%29%5E2-%289y%29%5E2
The difference of two squares is factored thus:
A%5E2-B%5E2+=+%28A-B%29%28A%2BB%29 Applying this to your problem:
%285x%29%5E2-%289y%29%5E2+=+%285x-9y%29%285x%2B9y%29