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If (1 + x)^n= ""^nC0+""^nC1x+""^nC2x^2+....

If `(1 + x)^n= ""^nC_0+""^nC_1x+""^nC_2x^2+.............+ ""^nC_n x^n`, prove that : `""^nC_1-2""^nC_2+3""^nC_3-.......+(-1)^(n-1) n ""^nC_n=0`.

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