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The number of distinct terms in the expa...

The number of distinct terms in the expansion of `(x+1/x+x^2+1/(x^2))^(15)` is/are (with respect to different power of `x` is a) `255` b. `61` c. `127` d. none of these

A

255

B

61

C

127

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
B
`(x+1/x+x^(2)+1/(x^(2)))^(15)=((x^(3)+x+x^(4)+1)/(x^(2)))^(15)`
`= (a_(0)+a_(1)x+a_(2)x^(2)+"....."+a_(60)x^(60))/(x^(50))`
Hence, the total number of term is 61.
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