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Standard VIII
Mathematics
Question
Find continued product of
(
x
−
1
x
)
(
x
+
1
x
)
(
x
2
−
1
x
2
)
.
Open in App
Solution
Verified by Toppr
(
x
−
1
x
)
(
x
+
1
x
)
(
x
2
−
1
x
2
)
=
[
(
x
)
2
−
(
1
x
2
)
2
]
(
x
2
−
1
x
2
)
=
(
x
2
−
1
x
2
)
(
x
2
−
1
x
2
)
=
(
x
2
−
1
x
2
)
2
(
a
−
b
)
2
=
a
2
+
b
2
−
2
a
b
=
(
x
2
)
2
+
(
1
x
2
)
2
−
2.
x
2
.
1
x
2
=
x
4
+
1
x
4
−
2
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Similar Questions
Q1
Find continued product of
(
x
−
1
x
)
(
x
+
1
x
)
(
x
2
−
1
x
2
)
.
View Solution
Q2
Find the continued products :
(i)
(
x
+
2
)
(
x
−
2
)
(
x
2
−
4
)
(ii)
(
2
x
−
1
)
(
2
x
+
1
)
(
4
x
2
+
1
)
(iii)
(
a
x
+
b
)
(
a
x
−
b
)
(
a
2
x
2
+
b
2
)
(iv)
(
x
+
1
x
)
(
x
−
1
x
)
(
x
2
+
1
x
2
)
View Solution
Q3
Product of
(
x
−
1
x
)
(
x
+
1
x
)
(
x
2
+
1
x
2
)
is :
View Solution
Q4
On simplification the product of given expression
(
x
−
1
x
)
(
x
+
1
x
)
(
x
2
+
1
x
2
)
is ________.
View Solution
Q5
Find product using suitable identity:
(
x
−
1
x
)
(
x
+
1
x
)
(
x
2
+
1
x
2
)
(
x
4
+
1
x
4
)
View Solution