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Question


The coefficient of xn in the expansion of (1+x1−x)2 is

A
2n
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B
4n
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C
8n
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D
16n
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Solution

The correct option is D 4n
(1+x1x)2=(1+x)2(1x)2
=(1+2x+x2)(1+2x+3x2+.....)
Coefficient of xn=1.(n+1)+2.(n)+1.(n1)=4n

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