Show that the term independent of x in the expansion of is -252.
To show: the term independent of x in the expansion of is -252.
Formula Used:
General term, Tr+1 of binomial expansionis given by,
Tr+1 nCr xn-r yr where
nCr
Now, finding the general term of the expression, , we get
Tr+110Cr
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.