Show that the coefficient of x⁴ in the expansion of is .

To show: that the coefficient of x⁴ 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 ¹⁰C_r

For finding the term which has in it, is given by

10-3r=4

3r=6

r=2

Thus, the term which has in it isT₃

T₃ ¹⁰C₂

T₃

T₃

T₃

Thus, the coefficient of x⁴ in the expansion of is