SOLUTION: does (x^2-y^2)(x^2+y^2) express a completely factored form for x^4-y^4?

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Question 409401: does (x^2-y^2)(x^2+y^2) express a completely factored form for x^4-y^4?
Answer by MathLover1(20855) About Me  (Show Source):
You can put this solution on YOUR website!

does %28x%5E2-y%5E2%29%28x%5E2%2By%5E2%29 express a completely factored form for x%5E4-y%5E4?
answer: yes
here is why:
x%5E4-y%5E4......using "power of power" rule, you can write this expression as:
%28x%5E2%29%5E2+-%28y%5E2%29%5E2........now you got the difference of squares and you use the "difference of squares" formula which gives you %28x%5E2-y%5E2%29%28x%5E2%2By%5E2%29