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Standard VIII
Mathematics
Algebraic Identities
Question
Solve:
(
2
x
+
5
)
2
−
(
2
x
−
5
)
2
Open in App
Solution
Verified by Toppr
We know that,
a
2
−
b
2
=
(
a
+
b
)
(
a
−
b
)
Let
a
=
2
x
+
5
&
b
=
2
x
−
5
=
(
2
x
+
5
+
2
x
−
5
)
(
2
x
+
5
−
(
2
x
−
5
)
)
=
(
4
x
)
(
2
x
+
5
−
2
x
+
5
)
=
(
4
x
)
(
2
x
+
5
−
2
x
+
5
)
=
4
x
×
10
=
0
Then,
we get
40
x
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