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UPSC 2013 CDS 2 Math Paper
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© examsnet.com
Question : 4
Total: 100
What is the HCF of
a
2
b
4
+
2
a
2
b
2
and
(
a
b
)
7
–
4
a
2
b
9
?
[2013 CDS-II]
ab
a
2
b
3
a
2
b
2
a
3
b
2
Validate
Solution:
a
2
b
4
+
2
a
2
b
2
=
a
2
b
2
(
b
2
+
2
)
and
(
a
b
)
7
−
4
a
2
b
9
=
a
7
b
7
−
4
a
2
b
9
=
a
2
b
2
(
a
5
b
5
−
4
b
7
)
HCF of
[
(
a
2
b
4
+
2
a
2
b
2
)
,
(
(
a
b
)
7
−
4
a
2
b
9
)
=
a
2
b
2
© examsnet.com
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