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Standard IX
Mathematics
Natural Numbers
Question
If
x
−
1
x
=
3
then find the value of
x
3
−
1
x
3
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Solution
Verified by Toppr
W
e
h
a
v
e
x
−
1
x
=
3
N
o
w
,
(
x
−
1
x
)
3
=
x
3
−
1
x
3
−
3
×
x
×
1
x
(
x
−
1
x
)
(
3
)
3
=
x
3
−
1
x
3
−
3
(
3
)
x
3
−
1
x
3
=
(
3
)
3
+
3
×
3
=
27
+
6
=
36
H
e
n
c
e
,
x
3
−
1
x
3
=
36.
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