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Given that C1+2C2x+3C3x^2++2nC(2n)x^(2n-...

Given that `C_1+2C_2x+3C_3x^2++2nC_(2n)x^(2n-1)=2n(1+x)^(2n-1), w h e r eC_r=(2n)!//[r !(2n-r)!]; r=0,1,2, ,2n ,` then prove that `C1 2-2C2 2+3C3 2--2n C2n2=(-1)^nn C_ndot`

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