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Math Help - Binomial Theorem problem

  1. #1
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    Binomial Theorem problem

    I'm a little on how the binomial theorem works. I have a problem where
    Given that (1+x^2)+(1+x^2)^2+...+(1+x^2)^{20},compute the coefficient of x^2.

    I know in the binomial theorem I can set x to 1 and y to x to have
    (1+x)^n but do I have to do this 20 times to find when n=1,2,3 etc?
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  2. #2
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    Quote Originally Posted by guyonfire89 View Post
    I'm a little on how the binomial theorem works. I have a problem where Given that (1+x^2)+(1+x^2)^2+...+(1+x^2)^{20},compute the coefficient of x^2.
    Here is a hint. The coefficient of x^2 in the expansion of (1+x^2)^j is j.
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