Show that the coefficient of x^-3 in the expansion of is -330.

To show: that the coefficient of x^-3 in the expansion of is -330.

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

11-2r=3

2r=14

r=7

Thus, the term which the term which has in it isT₈

T₈ ¹¹C₇

T₈¹¹C₇

T₈

T₆

T₆=-330

Thus, the coefficient of x^-3 in the expansion of is -330.