Prove that there is no term involving x6 in the expansion of.
To prove: that there is no term involving x6 in the expansion of
Formula Used:
General term, Tr+1 of binomial expansionis 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.