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Class VI
Class VII
Class VIII
Class IX
Class X
ICSE Grade IX - Expansions
Question
1
1.
If
(
−
5
a
−
3
b
)
✕
A =
(
25
a
2
−
9
b
2
)
,
then A =
(
−
5
a
+
5
b
)
(
−
6
a
+
3
b
)
(
−
4
a
+
3
b
)
(
−
5
a
+
b
)
(
−
5
a
+
3
b
)
Question
2
2.
(
a
+
b
)
(
a
−
b
)
(
a
2
−
4
b
2
)
(
−
b
2
)
(
a
2
−
b
2
)
(
2
a
2
−
b
2
)
(
a
2
+
2
b
2
)
Question
3
3.
(
3
a
−
3
b
)
(
9
a
2
+
9
a
b
+
9
b
2
)
(
27
a
3
−
29
b
3
)
(
28
a
3
−
27
b
3
)
(
27
a
3
−
24
b
3
)
(
27
a
3
−
27
b
3
)
(
26
a
3
−
27
b
3
)
Question
4
4.
If
(
x
+
1
x
)
=
3
,
find the value of
(
x
2
+
1
x
2
)
6
8
5
10
7
Question
5
5.
(
a
+
b
+
c
)
2
(
2
a
2
+
2
a
b
+
2
a
c
+
b
2
+
2
b
c
+
c
2
)
(
a
2
+
2
a
b
+
2
a
c
+
b
2
+
2
b
c
+
c
2
)
(
a
2
+
5
a
b
+
2
a
c
+
b
2
+
2
b
c
+
c
2
)
(
2
a
b
+
2
a
c
+
b
2
+
2
b
c
+
c
2
)
(
a
2
−
a
b
+
2
a
c
+
b
2
+
2
b
c
+
c
2
)
Question
6
6.
If
(
x
−
1
x
)
=
6
,
find the value of
(
x
2
+
1
x
2
)
36
38
37
39
41
Question
7
7.
If
(
a
+
b
)
=
8
,
a
b
=
12
, find
(
a
4
+
b
4
)
1311
1312
1315
1309
1313
Question
8
8.
If
(
x
2
+
1
x
2
)
=
2
,
find the value of
(
x
+
1
x
)
0
5
3
1
2
Question
9
9.
(
a
+
4
b
)
(
a
2
−
4
a
b
+
16
b
2
)
(
a
3
+
64
b
3
)
(
a
3
+
66
b
3
)
(
a
3
+
62
b
3
)
64
b
3
(
2
a
3
+
64
b
3
)
Question
10
10.
If
(
a
2
−
b
2
)
=
21
,
a
b
=
10
, find
(
a
−
b
)
3
1
4
2
5
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