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, 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+1 11Cr
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.