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Byju's Answer
Standard VIII
Mathematics
Algebraic Identity (a+b)^3
Find the cube...
Question
Find the cube of 5a+3b .
A
125
a
3
−
225
a
2
b
−
135
a
b
2
−
27
b
3
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B
125
a
3
+
27
b
3
+
225
a
2
b
+
135
a
b
2
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C
125
a
3
+
125
a
2
b
+
135
a
b
2
−
27
b
3
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D
125
a
3
−
225
a
2
b
−
135
a
b
2
−
27
b
3
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Solution
The correct option is
B
125
a
3
+
27
b
3
+
225
a
2
b
+
135
a
b
2
(
a
+
b
)
3
=
a
3
+
b
3
+
3
a
b
(
a
+
b
)
(
5
a
+
3
b
)
3
=
(
5
a
)
3
+
(
3
b
)
3
+
3
×
5
a
×
3
b
(
5
a
+
3
b
)
=
125
a
3
+
27
b
3
+
45
a
b
(
5
a
+
3
b
)
=
125
a
3
+
27
b
3
+
225
a
2
b
+
135
a
b
2
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