SOLUTION: How do I factor this? (x^2+y^2)^2-4x^2y^2 Thank You.

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: How do I factor this? (x^2+y^2)^2-4x^2y^2 Thank You.       Log On


   



Question 935134: How do I factor this?
(x^2+y^2)^2-4x^2y^2
Thank You.

Found 2 solutions by MathLover1, MathTherapy:
Answer by MathLover1(20850) About Me  (Show Source):
Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!

How do I factor this?
(x^2+y^2)^2-4x^2y^2
Thank You.

%28x%5E2+%2B+y%5E2%29%5E2+-+4x%5E2y%5E2
%28%28x%5E2+%2B+y%5E2%29+-+2xy%29%28%28x%5E2+%2B+y%5E2%29+%2B+2xy%29 ----- Factoring as difference of two squares
%28x%5E2+%2B+y%5E2+-+2xy%29%28x%5E2+%2B+y%5E2+%2B+2xy%29
%28x%5E2+-+2xy+%2B+y%5E2%29%28x%5E2+%2B+2xy+%2B+y%5E2%29
highlight_green%28highlight_green%28%28x+-+y%29%28x+-+y%29%28x+%2B+y%29%28x+%2B+y%29%29%29