The coefficient of \[{{x}^{n}}\]in expansion of \[(1+x)\,{{(1-x)}^{n}}\] is [AIEEE 2004]

\[{{(-1)}^{n-1}}{{(n-1)}^{2}}\]

The coefficient of \[{{x}^{n}}\]in expansion of \[(1+x)\,{{(1-x)}^{n}}

1.	The coefficient of \[{{x}^{n}}\]in expansion of \[(1+x)\,{{(1-x)}^{n}}\] is [AIEEE 2004]
A.	\[{{(-1)}^{n-1}}n\]
B.	\[{{(-1)}^{n}}(1-n)\]
C.	\[{{(-1)}^{n-1}}{{(n-1)}^{2}}\]
D.	\[(n-1)\]
Answer» C. \[{{(-1)}^{n-1}}{{(n-1)}^{2}}\]

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The coefficient of \[{{x}^{n}}\]in expansion of \[(1+x)\,{{(1-x)}^{n}}\] is [AIEEE 2004]

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