Q. 3
Show that the coefficient of x-3 in the expansion of 
is -330.
Answer :
To show: that the coefficient of x-3 in the expansion of 
is -330.
Formula Used:
General term, Tr+1 of binomial expansion
is 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
T8
11C7
T8
T6
T6=-330
Thus, the coefficient of x-3 in the expansion of 
is -330.
Rate this question :
Find the coefficient of
x5 in (x + 3)8
NCERT - MathsFind the coefficient of
a5b7 in (a – 2b)12 .
NCERT - Maths
Show that the coefficient of x4 in the expansion of 
is 
.
Show that the middle term in the expansion of 
is 252.
Show that the coefficient of x-3 in the expansion of is -330.
Show that the term independent of x in the expansion of 
is -252.
