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Question

In the expansion of (1+3x+2x2)6, the coefficient of x11 is

A
144
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B
288
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C
216
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D
576
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Solution

The correct option is A 576
=(2x2+3x+1)6
=(2x2+2x+x+1)6
=(2x+1)6(x+1)6
x11 can be formed by x5×x6
or x6×x5
Coefficient of x11=6C5(2)5×6C6+6C6(2)6×6C5
=32×18
=576
D is correct

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