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Question

The numerically greatest term in the expansion of (35x)15 when x=15 is

A
355×312
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B
455×311
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C
455×312
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D
355×311
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Solution

The correct option is C 455×312
(35x)15=(31)15 ( x=15)
Now for greatest term
Tr+1Tr=15r+1r131
16r3r
r4
Hence, T4 and T5 are the numerically greatest terms.
T4=15C3 3(153)(1)3=455×312
and T5=15C4 3(154)(1)4=455×312
Also, |T4|=|T5|=455×312.

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