Questions
a
16·C4 8
b
8·C4 8
c
C5 8
d
no term independent of x
detailed solution
Correct option is A
Tthe sum of the oefficients of the expansion1x+2xn=6561 Therefore (1+2)n=38 ⇒3n=38⇒n=8 Let (r+1) th term is independent of x . Therefore, Tr+1=Cr 81x(2x)8-r =C 8 r 2 8-r x8-2r Since this term is independent of x , then 8-2r=0⇒r=4 Therefore, coefficient of independent term is T5=C4 8·24=16·C4 8Talk to our academic expert!
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The coefficient of x5 in the expansion of is
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