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Byju's Answer
Standard XII
Mathematics
Binomial Coefficients
Find the cube...
Question
Find the cube of :
2
a
+
1
2
a
(
a
≠
0
)
A
8
a
3
+
6
a
+
3
2
a
+
1
8
a
3
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B
8
a
3
−
6
a
+
3
2
a
+
1
8
a
3
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C
a
3
+
6
a
+
3
2
a
+
1
8
a
3
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D
a
3
−
6
a
+
3
2
a
−
1
8
a
3
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Solution
The correct option is
A
8
a
3
+
6
a
+
3
2
a
+
1
8
a
3
2
a
+
1
2
a
Using,
(
a
+
b
)
3
=
a
3
+
b
3
+
3
a
2
b
+
3
a
b
2
(
2
a
+
1
2
a
)
3
=
(
2
a
)
3
+
(
1
2
a
)
3
+
3
×
(
2
a
2
)
×
(
1
2
a
)
+
3
×
(
2
a
)
×
(
1
2
a
)
2
=
8
a
3
+
1
8
a
3
+
6
a
+
3
2
a
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0
Similar questions
Q.
Find the cube of
2
a
+
1
2
a
(
a
≠
0) .
Q.
State whether the statement is True or False.
Expand:
(
2
a
−
1
2
a
)
3
is equal to
8
a
3
−
6
a
+
3
2
a
−
1
8
a
3
.
Q.
State whether the statement is True or False.
The cube of
(
2
a
−
1
)
is equal to
8
a
3
−
12
a
2
+
6
a
−
1
.
Q.
Find the cube of
(
2
a
−
6
b
)
Q.
If
2
a
−
3
a
=
1
, then, the value of
8
a
3
−
27
a
3
is
not
equal to 18 .
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