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Math Help - simlifying equations

  1. #1
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    simlifying equations

    Hi all
    Im stuck on this problem (from Stroud Engineering Maths 5th edition p 116 further problems f2)
    Simplify the following giving the result without fractional indices.
    (x^2 -1 )^2 * √x+1 (x-1)^3/2
    Answer = (x+1)^2 *√x-1
    I need help with the working
    Kind regards
    John
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  2. #2
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    Quote Originally Posted by JCM133 View Post
    Hi all
    Im stuck on this problem (from Stroud Engineering Maths 5th edition p 116 further problems f2)
    Simplify the following giving the result without fractional indices.
    (x^2 -1 )^2 * √x+1 (x-1)^3/2
    Answer = (x+1)^2 *√x-1
    I need help with the working
    Kind regards
    John
    is this the original expression to be simplified?

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

    if so, then I do not agree with the "answer".
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  3. #3
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    I missed typed the answer sorry
    it is
    (x+1)^2√x^2-1

    Kind regards
    John
    Last edited by JCM133; July 13th 2010 at 12:47 AM.
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  4. #4
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    Remember that \displaystyle x^2-1 = (x-1)(x+1)

    \displaystyle \frac{(x^2-1)^2 \cdot \sqrt{x+1}}{(x-1)^{\frac{3}{2}}} = \frac{(x-1)^2 \cdot (x+1)^2 \cdot \sqrt{x+1}}{(x-1)^{\frac{3}{2}}} = \frac{(x-1)^2}{(x-1)^{\frac{3}{2}}} \cdot (x+1)^2 \cdot \sqrt{x+1}

    Now I guess you are able to simplify the fraction
    Last edited by running-gag; July 13th 2010 at 01:35 AM. Reason: Precision added
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