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Standard VIII
Mathematics
Question
State whether the statement is True or False:
The square of
(
3
x
+
2
y
)
is equal to
9
x
2
+
12
x
y
+
4
y
2
.
True
False
A
True
B
False
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Solution
Verified by Toppr
Given, square of
(
3
x
+
2
y
)
,
i.e.
(
3
x
+
2
y
)
2
.
Applying the formula
(
a
+
b
)
2
=
a
2
+
2
a
b
+
b
2
, where
a
=
3
x
,
b
=
2
y
.
(
3
x
+
2
y
)
2
=
(
3
x
)
2
+
2
(
3
x
)
(
2
y
)
+
(
2
y
)
2
=
9
x
2
+
12
x
y
+
4
y
2
=
9
x
2
+
12
x
y
+
4
y
2
.
Hence, the statement is true.
Therefore, option
A
is correct.
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