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Question

The term independent of x in the expansion of (6x13x)9 is equal to:

A
9C3
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B
9C3
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C
9C2
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D
none of the above
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Solution

The correct option is B 9C3
Given
(6x13x)9

General term of given expansion is
Tr+1=9Cr(x)9r61(x)r3(1)r

Tr+1=9Cr(x)93r6(1)r(1)

Comparing terms having power x0 with Tr+1=9Cr(x)93r6(1)r we get

93r6=0r=3
Hence coefficient of term having term x0 is 9C3(1)3=9C3


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