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Byju's Answer
Standard VIII
Chemistry
Atomic Mass
Find the cont...
Question
Find the continued product:
(i) (x + 1)(x − 1)(x
2
+ 1)
(ii) (x − 3)(x + 3)(x
2
+ 9)
(iii) (3x − 2y)(3x + 2y)(9x
2
+ 4y
2
)
(iv) (2p + 3)(2p − 3)(4p
2
+ 9)
Open in App
Solution
i
x
+
1
x
-
1
x
2
+
1
⇒
x
2
-
x
+
x
-
1
x
2
+
1
⇒
x
2
-
1
x
2
+
1
⇒
x
2
2
-
1
2
2
according
to
the
formula
a
2
-
b
2
=
a
+
b
a
-
b
⇒
x
4
-
1
.
Therefore
,
the
product
of
x
+
1
x
-
1
x
2
+
1
is
x
4
-
1
.
i
i
x
-
3
x
+
3
x
2
+
9
⇒
x
2
-
3
2
x
2
+
9
according
to
the
formula
a
2
-
b
2
=
a
+
b
a
-
b
⇒
x
2
-
9
x
2
+
9
⇒
x
2
2
-
9
2
according
to
the
formula
a
2
-
b
2
=
a
+
b
a
-
b
⇒
x
4
-
81
Therefore
,
the
product
of
x
-
3
x
+
3
x
2
+
9
is
x
4
-
81
.
iii
3
x
-
2
y
3
x
+
2
y
9
x
2
+
4
y
2
⇒
3
x
2
-
2
y
2
9
x
2
+
4
y
2
according
to
the
formula
a
2
-
b
2
=
a
+
b
a
-
b
⇒
9
x
2
-
4
y
2
9
x
2
+
4
y
2
⇒
9
x
2
2
-
4
y
2
2
according
to
the
formula
a
2
-
b
2
=
a
+
b
a
-
b
⇒
81
x
4
-
16
y
4
.
Therefore
,
the
product
of
3
x
-
2
y
3
x
+
2
y
9
x
2
+
4
y
2
is
81
x
4
-
16
y
4
.
iv
2
p
+
3
2
p
-
3
4
p
2
+
9
⇒
2
p
2
-
3
2
4
p
2
+
9
according
to
the
formula
a
2
-
b
2
=
a
+
b
a
-
b
⇒
4
p
2
-
9
4
p
2
+
9
⇒
4
p
2
2
-
9
2
according
to
the
formula
a
2
-
b
2
=
a
+
b
a
-
b
⇒
16
p
4
-
81
.
Therefore
,
the
product
of
2
p
+
3
2
p
-
3
4
p
2
+
9
is
16
p
4
-
81
.
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0
Similar questions
Q.
Evaluate
(
2
p
+
3
)
(
2
p
−
3
)
(
4
p
2
+
9
)
Q.
Evaluate
(
3
x
−
2
y
)
(
3
x
+
2
y
)
(
9
x
2
+
4
y
2
)
Q.
Find the continued product :
(
x
−
3
)
(
x
+
3
)
(
x
2
+
9
)
Q.
Which of the following are quadratic equations?
(i) x
2
+ 6x − 4 = 0
(ii)
3
x
2
-
2
x
+
1
2
=
0
(iii)
x
2
+
1
x
2
=
5
(iv)
x
-
3
x
=
x
2
(v)
2
x
2
-
3
x
+
9
=
0
(vi)
x
2
-
2
x
-
x
-
5
=
0
(vii) 3x
2
− 5x + 9 = x
2
− 7x + 3
(viii)
x
+
1
x
=
1
(ix) x
2
− 3x = 0
(x)
x
+
1
x
2
=
3
x
+
1
x
+
4
(xi) (2x + 1) (3x + 2) = 6(x − 1) (x − 2)
(xii)
x
+
1
x
=
x
2
,
x
≠
0
(xiii) 16x
2
− 3 = (2x + 5) (5x − 3)
(xiv) (x + 2)
3
= x
3
− 4
(xv) x(x + 1) + 8 = (x + 2) (x − 2)
