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Mathematics - Binomial Theorem Question with Solution | TestHub

MathematicsBinomial TheoremGeneralMedium2 minPYQ_2004

MathematicsMediumsingle choice

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

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Solution:

Coefficient of $x^{n}$ in $(1 + x) (1 - x)^{n} = (1 + x) (^{n} C_{0} -^{n} C_{1} x + \dots\dots . + (- 1)^{n - 1}^{n} C_{n - 1} x^{n - 1} + (- 1)^{n}$ $^{n} C_{n} x^{n})$ $= (- 1)^{n}^{n} C_{n} + (- 1)^{n - 1}^{n} C_{n - 1} = (- 1)^{n} (1 - n)$

Stream:JEESubject:MathematicsTopic:Binomial TheoremSubtopic:General

⏱ 2mℹ️ Source: PYQ_2004

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