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UPSC 2017 CDS I Math Paper
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© examsnet.com
Question : 14
Total: 100
If
x
=
2
+
2
2
3
+
2
1
3
,
then what is the value of
x
3
−
6
x
2
+
6
x
?
[2017 CDS-I]
3
2
1
0
Validate
Solution:
x
=
2
+
2
2
3
+
2
1
3
⇒
(
x
−
2
)
=
2
2
3
+
2
1
3
⇒
(
x
−
2
)
3
=
(
2
2
3
+
2
1
3
)
⇒
x
3
−
6
x
2
+
12
x
−
8
=
4
+
2
+
3
×
2
2
3
×
2
1
3
(
2
2
3
+
2
1
3
)
⇒
x
3
−
6
x
2
+
12
x
−
8
=
6
+
6
(
x
−
2
)
⇒
x
3
−
6
x
2
+
6
x
=
2
© examsnet.com
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