Binomial Theorem 1

Algebra Level 3

\[\dbinom{n}{1}x(1-x)^{n-1}+2\dbinom{n}{2}x^2(1-x)^{n-2}+3\dbinom{n}{3}x^3(1-x)^{n-3}+ \ldots + n\dbinom{n}{n}x^n=Ax\]

Find \(A\).

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