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The coefficient of $x^{n}$ in the expansion of $(1 + x) (1 - x)^{n},$ is

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(−1)n−1n

(−1)n(1−n)

(−1)n−1(n−1)2

(n−1)

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detailed solution

Correct option is B

We have,Coefficient of xn in (1+x)(1−x)n=Coefficient of xn in (1−x)n+ Coefficient of xn−1 in (1−x)n=(−1)n nCn+(−1)n−1nCn−1=(−1)n(1−n)

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The coefficient of xn in the expansion of (1+x)(1−x)n, is

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The coefficient of $x^{n}$ in the expansion of $(1 + x) (1 - x)^{n},$ is