Coefficient of the term independent of x in the expan-sion of (1+x)2nx1−x−2n is :
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a
2nCn
b
(−1)n2nCn
c
n2−nCn
d
0
answer is B.
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Detailed Solution
Coefficient of the term independent of x in the expan-sion of(1+x)2nx1−x−2nor (1+x)2n(1-x)2nx2n = coefficient of x2n in 1−x22n= coefficient of tn in (1−t)2n=2nCn(−1)n