SOLUTION: REDUCE: (a^2-b^2)(a+b)/(a+b)^2

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Question 146376: REDUCE:
(a^2-b^2)(a+b)/(a+b)^2


Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Reduce:
highlight%28%28a%5E2-b%5E2%29%29%28a%2Bb%29%2F%28a%2Bb%29%5E2 Expand the indicated factor in the numerator.
highlight%28%28a%2Bb%29%28a-b%29%29%28a%2Bb%29%2F%28a%2Bb%29%5E2 Rearrange the numerator a bit.
highlight%28%28a%2Bb%29%28a%2Bb%29%29%28a-b%29%2F%28a%2Bb%29%5E2=highlight%28%28a%2Bb%29%5E2%29%28a-b%29%2F%28a%2Bb%29%5E2
Cancel the common factors.
%28cross%28%28a%2Bb%29%5E2%29%28a-b%29%2Fcross%28%28a%2Bb%29%5E2%29%29=a-b