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Byju's Answer
Standard XII
Mathematics
Combination
The coefficie...
Question
The coefficient of
x
n
in the expansion of
(
1
+
x
1
−
x
)
2
is
A
2
n
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B
4
n
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C
8
n
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D
16
n
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Solution
The correct option is
D
4
n
(
1
+
x
1
−
x
)
2
=
(
1
+
x
)
2
(
1
−
x
)
−
2
=
(
1
+
2
x
+
x
2
)
(
1
+
2
x
+
3
x
2
+
.
.
.
.
.
)
Coefficient of
x
n
=
1.
(
n
+
1
)
+
2.
(
n
)
+
1.
(
n
−
1
)
=
4
n
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