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Standard VIII
Mathematics
Algebraic Identities
Question
Expand
(
x
+
1
x
)
2
using appropriate identity
Open in App
Solution
Verified by Toppr
Using the identity:
(
a
+
b
)
2
=
a
2
+
b
2
+
2
a
b
.
Given:
(
x
+
1
x
)
2
and apply the above identity by taking
a
=
x
and
b
=
1
x
in the given identity.
We get,
(
x
+
1
x
)
2
=
x
2
+
(
1
x
)
2
+
(
2
×
x
×
1
x
)
=
x
2
+
1
x
2
+
2
Hence,
(
x
+
1
x
)
2
=
x
2
+
2
+
1
x
2
.
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