Find the coefficient of `x^(4)` in the expansion of `(1+x)^(n)(1-x)^(n).` Deduce that `C_(2) = C_(0

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Find the coefficient of `x^(4)` in the expansion of `(1+x)^(n)(1-x)^(n).` Deduce that `C_(2) = C_(0)C_(4) - C_(1)C_(3) +C_(2)C_(2)-C_(3)C_(1)+ C_(4)C_(0),\" where \"C_(r) \" stands for \" ^(n)C_(r).`
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