SOLUTION: [(a^4-b^4)/(a^4+b^4)]*[(a^8-b^8)/(a^6+b^6)]

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Question 330529: [(a^4-b^4)/(a^4+b^4)]*[(a^8-b^8)/(a^6+b^6)]
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!

=
Cancel (a^4+b^4)
= %28%28a%5E4-b%5E4%29%2F%281%29%29%2A%28%28a%5E4-b%5E4%29%2F%28a%5E6%2Bb%5E6%29%29
= %28%28a%5E4-b%5E4%29%28a%5E4-b%5E4%29%29%2F%28a%5E6%2Bb%5E6%29
=
Cancel (a^2+b^2)
= %28%28a%5E2-b%5E2%29%28a%5E4-b%5E4%29%29%2F%28a%5E4-a%5E2b%5E2%2Bb%5E4%29
or
= %28a%5E6+-a%5E4b%5E2+-a%5E2b%5E4+%2B+b%5E6%29%2F%28a%5E4-a%5E2b%5E2%2Bb%5E4%29