Solve
Guides
Join / Login
Use app
Login
0
You visited us
0
times! Enjoying our articles?
Unlock Full Access!
Standard IX
Mathematics
Algebraic Identities
Question
If
y
−
1
y
=
9
, find the value of
y
3
−
1
y
3
Open in App
Solution
Verified by Toppr
We know that,
x
3
−
y
3
=
(
x
−
y
)
3
+
3
x
y
(
x
−
y
)
Put
x
=
y
and
y
=
1
y
,
y
3
−
1
y
3
=
(
y
−
1
y
)
3
+
3
(
y
−
1
y
)
=
(
9
)
3
+
3
(
9
)
=
729
+
27
=
756
Was this answer helpful?
3
Similar Questions
Q1
If
y
−
1
y
=
9
, find the value of
y
3
−
1
y
3
View Solution
Q2
Find
y
3
−
1
y
3
, if
y
−
1
y
=
9
View Solution
Q3
If
y
+
1
y
=1 then the value of
y
3
is
View Solution
Q4
Find the value of
(
y
3
−
5
y
2
)
y
×
(
y
−
1
)
View Solution
Q5
If x=3, y=2 and z=-1 then the value of
(
x
3
+
y
3
+
1
y
3
−
z
3
)
is,
View Solution