SOLUTION: Please help! [(b/a)-(a/b)]/[(1/a)-(1/b)] I know the answer is a+b but i can't get there. I've tried everything! Please help!

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Question 769045: Please help!
[(b/a)-(a/b)]/[(1/a)-(1/b)]
I know the answer is a+b but i can't get there. I've tried everything! Please help!

Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
[(b/a)-(a/b)]/[(1/a)-(1/b)]
I know the answer is a+b but i can't get there.
--------------------
= [(b^2-a^2)/(ab)] / [(b-a)/(ab)]
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Invert the denominator and multiply:
= [(b^2-a^2)/(ab)]
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= [(b-a)(b+a)] / (b-a)
-----
= b+a
======================
Cheers,
Stan H.
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