Q. 65.0( 1 Vote )
Prove that there is no term involving x6 in the expansion of
.
Answer :
To prove: that there is no term involving x6 in the expansion of 
Formula Used:
General term, Tr+1 of binomial expansion
is given by,
Tr+1
nCr xn-r yr where
nCr
Now, finding the general term of the expression, 
, we get
Tr+1
11Cr
For finding the term which has 
in it, is given by
22-2r-r=6
3r=16
Since, 
is not possible as r needs to be a whole number
Thus, there is no term involving x6 in the expansion of
.
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Find the coefficient of
x5 in (x + 3)8
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Show that the coefficient of x4 in the expansion of 
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Show that the term independent of x in the expansion of 
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