SOLUTION: Can you please help me simplify this complex fraction. {{{(1/b^2-1/a^2)/(1/b-1/a)}}}

Algebra ->  Functions -> SOLUTION: Can you please help me simplify this complex fraction. {{{(1/b^2-1/a^2)/(1/b-1/a)}}}      Log On


   

Question 122788: Can you please help me simplify this complex fraction.
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Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
(1/b^2-1/a^2) / (1/b-1/a)
= [(a^2-b^2)/a^2b^2] / [(a-b)/ab]
Invert the denominator and multiply:
= [(a^2-b^2)/a^2b^2] / [ab/(a-b)]
Cancel where you can to get:
= (a+b)/ab
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Cheers,
Stan H.