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UPSC 2013 CDS 2 Math Paper
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© examsnet.com
Question : 14
Total: 100
The quantity which must be added to
(
1
−
x
)
(
1
+
x
2
)
to obtain
x
3
is
[2013 CDS-II]
2
x
3
+
3
x
2
+
x
+
1
2
x
3
+
x
2
+
x
−
1
2
x
3
−
x
2
+
x
−
1
−
x
2
+
x
−
1
Validate
Solution:
(
1
−
x
)
(
1
+
x
2
)
+
y
=
x
3
∴
y
=
x
3
−
(
1
−
x
)
(
1
+
x
2
)
=
2
x
3
−
x
2
+
x
−
1
© examsnet.com
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