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Math Help - Dividing Fractions

  1. #1
    Junior Member
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    Jun 2011
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    Dividing Fractions

    Hi there,

    I am having difficulty getting the correct solution for

    \frac{1}{x^{2}-1}\div\frac{1}{x-1}=\frac{1}{x+1}

    I've been getting

    \frac{x-1}{x^{2}-1}

    which is as far as I can take it, I must be missing something simple.

    Many thanks.
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  2. #2
    -1
    e^(i*pi)'s Avatar
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    Feb 2009
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    West Midlands, England
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    Re: Dividing Fractions

    Quote Originally Posted by Srengam View Post
    Hi there,

    I am having difficulty getting the correct solution for

    \frac{1}{x^{2}-1}\div\frac{1}{x-1}=\frac{1}{x+1}

    I've been getting

    \frac{x-1}{x^{2}-1}

    which is as far as I can take it, I must be missing something simple.

    Many thanks.
    Use the difference of two squares on the denominator

    As long as |x| \neq 1 you can cancel
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  3. #3
    Junior Member
    Joined
    Jun 2011
    Posts
    37

    Re: Dividing Fractions

    Thank you,

    I have didn't think of 1 as been a square number before, but it makes now.

    Thanks again.
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