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Question

The coefficient of x2 in the expansion of (1+4x+x2)1/2 is =

A
3
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B
2
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C
2
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D
32
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Solution

The correct option is C 32
Given, (1+4x+x2)1/2=(1+(4x+x2))1/2
=1+12(4x+x2)14.2!(4x+x2)2...
=1+12(4x+x2)18(x4+16x2+8x3)... ..(i)
Hence we get coefficient of x2 from Eq (i) as.
12168
=122
=32

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