Q. 14

# Find the coeffici

To find: the coefficient of xn in the expansion of (1 + x) (1 – x)n.

Formula Used:

Binomial expansion of is given by,

Thus,

Thus, the coefficient of is,

nCn-nCn-1 (If n is even)

-nCn+nCn-1 (If n is odd)

Thus, the coefficient of is,nCn-nCn-1 (If n is even)and -nCn+nCn-1 (If n is odd)

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