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UPSC 2017 CDS II Math Paper
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© examsnet.com
Question : 14
Total: 100
The quotient of
8
x
3
−
y
3
when divided by
2
x
y
+
4
x
2
+
y
2
is
[2017 CDS-II]
2
x
+
y
x
+
2
y
2
x
−
y
4
x
−
y
Validate
Solution:
8
x
3
−
y
3
=
(
2
x
)
2
−
(
y
)
3
=
(
2
x
−
y
)
(
4
x
2
+
y
2
+
2
x
y
)
Quotient
=
(
2
x
−
y
)
(
4
x
2
+
y
2
+
2
x
y
)
2
x
y
+
4
x
2
+
y
2
=
2
x
−
y
© examsnet.com
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