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AP EAMCET Engineering 2018 Apr 24 Shift 1 Paper
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© examsnet.com
Question : 19
Total: 160
The coefficient of
x
4
in the power series expansion of
x
2
−
1
(
x
2
+
1
)
(
x
2
+
2
)
is
15
16
15
4
-
13
8
77
324
Validate
Solution:
By the use of binomial expansion,
(
x
2
−
1
)
(
x
2
+
1
)
(
x
2
+
2
)
=
1
2
(
x
2
−
1
)
(
1
+
x
2
)
−
1
(
1
+
x
2
2
)
−
1
=
1
2
[
(
x
2
−
1
)
(
1
−
x
2
+
x
4
.
.
.
.
)
(
1
−
x
2
2
+
x
4
4
.
.
.
)
]
=
1
2
[
(
x
2
−
1
)
(
1
−
3
2
x
2
+
7
4
x
4
.
.
.
.
.
)
]
=
1
2
(
−
7
4
−
3
2
)
=
−
13
8
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