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Math Help - Rational exponents problem

  1. #1
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    Dec 2007
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    Rational exponents problem

    I am supposed to factor
    3(x-2)^{\frac{1}{2}} from 12(x-2)^{\frac{3}{2}}-9(x-2)^{\frac{1}{2}}


    and my procedure was
    12(x-2)^{\frac{3}{2}}-9(x-2)^{\frac{1}{2}}


    12(x-2)^{\frac{1}{2}+\frac{2}{2}}-9(x-2)^{\frac{1}{2}}


    3(x-2)^{\frac{1}{2}}[4(x-2)-3]

    I checked my result but the book I am working with says the answer should be 3(x-2)^{\frac{1}{2}}(4x-11)

    Am I doing something wrong?? Please let me know.
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  2. #2
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    Smile

    Quote Originally Posted by Alienis Back View Post
    I am supposed to factor
    3(x-2)^{\frac{1}{2}} from 12(x-2)^{\frac{3}{2}}-9(x-2)^{\frac{1}{2}}


    and my procedure was
    12(x-2)^{\frac{3}{2}}-9(x-2)^{\frac{1}{2}}


    12(x-2)^{\frac{1}{2}+\frac{2}{2}}-9(x-2)^{\frac{1}{2}}


    3(x-2)^{\frac{1}{2}}[4(x-2)-3]

    I checked my result but the book I am working with says the answer should be 3(x-2)^{\frac{1}{2}}(4x-11)

    Am I doing something wrong?? Please let me know.
    your not doing anything wrong, 4(x-2)-3=4x-11
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