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

If ` (1 + x)^(n) = C_(0) + C_(1) x + C_(2) x^(2)`
` + C_(3) x^(3) + …+ C_(n) x^(n)` , prove that
` C_(1) - 2C_(2) + 3C_(3) - …+ (-1)^(n-1) nC_(n) = 0 ` .

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