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Standard VIII
Mathematics
Algebraic Identities
Question
Find
(
2
x
+
3
y
)
2
.
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Solution
Verified by Toppr
We use the identity:
(
a
+
b
)
2
=
a
2
+
2
a
b
+
b
2
.
Taking
a
=
2
x
and
b
=
3
y
,
we get
(
2
x
+
3
y
)
2
=
(
2
x
)
2
+
2
(
2
x
)
(
3
y
)
+
(
3
y
)
2
=
4
x
2
+
12
x
y
+
9
y
2
.
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