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Byju's Answer
Standard XII
Mathematics
Binomial Expression
If a2-1/a=2...
Question
If
a
2
−
1
a
=
2
then the value of
a
6
−
1
a
3
is
A
12
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B
13
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C
14
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D
15
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Solution
The correct option is
C
14
Given
a
2
−
1
a
=
2
Then cube this equation
(
a
2
−
1
a
)
3
=
(
2
)
3
⇒
a
6
−
1
−
3
a
4
+
3
a
2
a
3
=
8
⇒
a
6
−
1
a
3
−
3
a
2
(
a
2
−
1
)
a
3
=
8
⇒
a
6
−
1
a
3
−
6
=
8
⇒
a
6
−
1
a
3
=
8
+
6
=
14
Suggest Corrections
2
Similar questions
Q.
Find the value of
a
6
−
1
a
3
given that
a
2
−
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a
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Q.
Find the value of
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,given that
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Q.
If
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, then what is the value of
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? [2 MARKS]
Q.
If for an
A
.
P
.
a
1
,
a
2
,
a
3
,
.
.
.
.
.
.
,
a
n
,
.
.
.
.
.
a
1
+
a
3
+
a
5
=
−
12
and
a
1
a
2
a
3
=
8
then the value of
a
2
+
a
4
+
a
6
equals
Q.
If
(
1
+
x
+
x
2
)
n
=
a
0
+
a
1
x
+
a
2
x
2
.
.
.
.
.
.
.
.
.
+
a
2
n
x
2
n
then the value of
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is equal to
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