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Math Help - Fraction Problem

  1. #1
    Member ~berserk's Avatar
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    Fraction Problem

    express in simplest form:


    I get to here (x(x-2))/(x(x+2))+(-4)/(x+2)

    now what do I do?
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  2. #2
    MHF Contributor Mathstud28's Avatar
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    Quote Originally Posted by ~berserk View Post
    express in simplest form:


    I get to here (x(x-2))/(x(x+2))+(-4)/(x+2)

    now what do I do?
    the key here is a little factoring, and the rewriting of some of the terms

    x^2-4=(x+2)(x-2)

    x^2-4x+4=(x-2)^2

    and finally dividing by \frac{4}{x^2-4x+4} is the same as multiplying by

    \frac{(x-2)^2}{4}

    So rewrting we have

    \frac{2x}{(x-2)(x+2)}\cdot\frac{(x-2)^2}{4}+\frac{1}{(x-2)(x+2)}\cdot\frac{-(x-2)}{3}

    can you go from there?
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  3. #3
    Member ~berserk's Avatar
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    is the answer \frac{(x-4)}{2} ?
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  4. #4
    MHF Contributor Mathstud28's Avatar
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    Quote Originally Posted by ~berserk View Post
    is the answer \frac{(x-4)}{2} ?
    dont be shy, show yoru work..but yes
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  5. #5
    Member ~berserk's Avatar
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  6. #6
    MHF Contributor Mathstud28's Avatar
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    Quote Originally Posted by ~berserk View Post
    Looks good
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