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Question

In the expansion of (12x1/3+x1/5)8, the term independent of x is


A

T5

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B

T6

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C

T7

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D

T8

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Solution

The correct option is B

T6


T6

Suppose the (r+1)th term in the given expansion is independent of x.

Then, we have:

Tr+1=8Cr(12x13)8r(x15)r

=8Cr128rx3r5

For this term to be independent of x, we must have:

8r3r5=0

405r3r=0

r=5

Hence, the required term is the 6th term, i.e.T6.


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