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Question
Mathematics
The coefficient of x-5 in the binomial expansion of ((x+1/x(2)3 - x(1)3 + 1 - (x-1/x-x(1)2))/10) where x ≠ 0 , 1 , is :
Q. The coefficient of
x
−
5
in the binomial expansion of
(
x
3
2
−
x
3
1
+
1
x
+
1
−
x
−
x
2
1
x
−
1
)
10
where
x
=
0
,
1
,
is :
3955
200
JEE Main
JEE Main 2017
Binomial Theorem
Report Error
A
1
10%
B
4
60%
C
-4
10%
D
-1
20%
Solution:
[
(
x
2/3
−
x
1/3
+
1
)
(
x
1/3
+
1
)
(
x
2/3
−
x
1/3
+
1
)
−
x
(
x
−
1
)
(
x
−
1
)
(
x
+
1
)
]
10
=
(
x
1/3
+
1
−
1
−
1/
x
1/2
)
10
=
(
x
1/3
−
1/
x
1/2
)
r
=
1/3
,
b
=
1/2
r
=
1/3
+
2
1
3
10
−
(
−
5
)
r
=
(
5
2
1
)
25/3
=
10
cos.
=
10
C
10
(
1
)
(
−
1
)
10
=
1