1.

The coefficient of \[{{x}^{n}}\] in \[\frac{{{(1+x)}^{2}}}{{{(1-x)}^{3}}}\]is

A. \[3{{n}^{2}}+2n+1\]
B. \[2{{n}^{2}}+2n+1\]
C. \[{{n}^{2}}+n+1\]
D. \[2{{n}^{2}}-2n+1\]
Answer» C. \[{{n}^{2}}+n+1\]


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