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, T_r+1 of binomial expansionis given by,

T_r+1 ⁿC_r x^n-r y^r where

ⁿC_r

Now, finding the general term of the expression, , we get

T_r+1 ¹¹C_r

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.