Show that the ter

To show: the term independent of x in the expansion of is -252.

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+1¹⁰C_r

For finding the term which is independent of x,

10-2r=5

r=5

Thus, the term which would be independent of x is T₆

T₆ ¹⁰C₅

T₆ ¹⁰C₅

T₆ ¹⁰C₅

T₆

T₆

T₆

T₆

T₆=252

Thus, the term independent of x in the expansion of is -252.