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Math Help - please find coefficient

  1. #1
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    please find coefficient

    nb
    Last edited by oceanmd; December 13th 2007 at 05:23 AM.
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  2. #2
    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by oceanmd View Post
    I do not even know how to touch this problem. Please help.
    Find coefficient of x^0 in the expansion of (x^2+1\x)^12

    Thank you
    we have \left( x^2 + x^{-1} \right)^{12}

    using (a + b)^n = \sum_{k = 0}^{n}{n \choose k}a^kb^{n - k} we have:

    \left( x^2 + \frac 1x \right)^{12} = \left( x^2 + x^{-1} \right)^{12} = \sum_{k = 0}^{12}{12 \choose k}x^{2k}x^{k - 12} = \sum_{k = 0}^{12}{12 \choose k}x^{3k - 12}

    now continue
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  3. #3
    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by oceanmd View Post
    3k-12=0; k=4
    coefficient is 495.
    Thank you
    yes
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