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Math Help - please help binomial theorem expand

  1. #1
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    please help binomial theorem expand

    use the binomial theorem to expand up to 4 terms

    1/sqrt(4-3x^2)^3
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  2. #2
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    Quote Originally Posted by joey1 View Post
    use the binomial theorem to expand up to 4 terms

    1/sqrt(4-3x^2)^3
    \frac{1}{\sqrt{(4 - 3x^2)^3}} = (4 - 3x^2)^{-\frac{3}{2}}.


    Now recall that

    (x + y)^r = x^r + rx^{r - 1}y + \frac{r(r - 1)}{2!}x^{r - 2}y^2  + \frac{r(r - 1)(r - 2)}{3!}x^{r - 3}y^3 + \dots


    Substitute the values of x, y, r and simplify...
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