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Math Help - simplify the expression

  1. #1
    Junior Member
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    simplify the expression

    1/x^2+2x+1 subtract 1/x^2-4x-5

    and give your answer in the form of f(x)/g(x)

    your answer for the function f(x) is: ________
    your answer for the function of g(x) is: _______
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  2. #2
    Super Member redsoxfan325's Avatar
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    Quote Originally Posted by B-lap View Post
    \frac{1}{x^2+2x+1}-\frac{1}{x^2-4x-5}

    and give your answer in the form of f(x)/g(x)

    your answer for the function f(x) is: ________
    your answer for the function of g(x) is: _______
    Factor the denominators. (This makes it easier to find a common denominator.)

    \frac{1}{(x+1)^2}-\frac{1}{(x+1)(x-5)}

    Make common denominators and subtract.

    \frac{x-5}{(x+1)^2(x-5)}-\frac{x+1}{(x+1)^2(x-5)}=\boxed{\frac{-6}{(x+1)^2(x-5)}}
    Last edited by mr fantastic; September 21st 2009 at 02:58 PM.
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