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Math Help - Simplifying rational functions

  1. #1
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    Simplifying rational functions

    I know i should be able to do this but I've got a mind block at the moment.
    \frac{x+5+\frac{4}{x}}{x+3+\frac{-4}{x}}
    i KNOW this rationalizes down to \frac{x+1}{x-1} because that's the answer, but i can't for the life of me figure out why this is the case, i keep getting \frac{x+9}{x-1}
    any help would be appreciated
    Last edited by mattty; April 26th 2009 at 05:11 AM.
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  2. #2
    Super Member Showcase_22's Avatar
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    <br /> <br />
\frac{x+5+\frac{4}{x}}{x+5+\frac{-4}{x}}<br />

    \frac{x^2+5x+4}{x^2+5x-4}

    I don't think that goes into \frac{x+1}{x-1}. Have you written down the question correctly?
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  3. #3
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    indeed i did not, thanks for pointing that out, the proper question is in the original post now
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  4. #4
    Super Member Showcase_22's Avatar
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    Ahh!

    That's a bit better:

    <br /> <br />
\frac{x+5+\frac{4}{x}}{x+3+\frac{-4}{x}}=\frac{x^2+5x+4}{x^2+3x-4}=\frac{(x+4)(x+1)}{(x+4)(x-1)}=\frac{x+1}{x-1}<br />

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  5. #5
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    i knew it was something simple, haven't used my factorizing skills in far too long lol
    thanks
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