If (1+x)^(n)=C(0)+C(1)+x+C(2)x^(2)+...+C...

If `(1+x)^(n)=C_(0)+C_(1)+x+C_(2)x^(2)+...+C_(n) x^(n)`
Show that `1^(2)C_(1)^(2)+2^(2)C_(2)+3^(2)C_(3)+...+ n^(2)c_(n)^(2)=n^(2)((2n-2)!)/([(n-1)!]^(2))`

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If (1+x)^(n)=C_(0)+C_(1)+x+C_(2)x^(2)+...+C_(n) x^(n) Show that C_(1)^(2)+2*C_(2)^(2)+3*C_(3)^(2)....+n*C_(n)^(2)=((2n-1)!)/([(n-1)!]^(2))

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