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Byju's Answer
Standard VIII
Mathematics
Expansion of (x^2 - y^2)
If x2+1x2=9...
Question
If
x
2
+
1
x
2
=
98
, find the value of
x
3
+
1
x
3
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Solution
Given,
x
2
+
1
x
2
=
98
(
x
+
1
x
)
2
=
x
2
+
1
x
2
+
2
98
+
2
=
100
∴
x
+
1
x
=
10
(
x
+
1
x
)
3
=
x
3
+
1
x
3
+
3
(
x
+
1
x
)
x
3
+
1
x
3
+
3
(
x
+
1
x
)
=
1000
x
3
+
1
x
3
=
1000
−
3
(
10
)
=
970
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