Show that the expansion of does not contain any term involving x -1 .

Question

Philoid · Accepted Answer

For ,

a=x², and n=12

We have a formula,

To get coefficient of x^-1 we must have,

(x)^24-3r = (x)^-1

• 24 - 3r = -1

• 3r = 25

• r = 8.3333

As is not possible

Therefore, the term containing x^-1 does not exist in the expansion of