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Byju's Answer
Standard IX
Mathematics
Conditional Identities
The value of ...
Question
The value of
(
2
x
−
3
y
)
3
+
(
x
+
3
y
)
3
+
3
(
2
x
−
3
y
)
2
(
x
+
3
y
)
+
3
(
2
x
−
3
y
)
(
x
+
3
y
)
2
=
A
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B
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C
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D
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Solution
The correct option is
A
Substitute
2
x
−
3
y
=
a
and
(
x
+
3
y
)
=
b
(
2
x
−
3
y
)
3
+
(
x
+
3
y
)
3
+
3
(
2
x
−
3
y
)
2
(
x
+
3
y
)
+
3
(
2
x
−
3
y
)
(
x
+
3
y
)
2
=
a
3
+
b
3
+
3
a
2
b
+
3
a
b
2
=
(
a
+
b
)
3
=
(
2
x
−
3
y
+
x
+
3
y
)
3
=
(
3
x
)
3
=
27
x
3
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0
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