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Class VI
Class VII
Class VIII
Class IX
Class X
ICSE Grade VII - Special Products As Identities
Question
1
1.
The value of
31
1
3
✕
31
1
3
is
981
7
11
982
981
5
9
981
7
9
Question
2
2.
(
a
+
b
+
c
)
2
(
a
2
−
a
b
+
2
a
c
+
b
2
+
2
b
c
+
c
2
)
(
2
a
2
+
2
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
+
2
a
b
+
2
a
c
+
b
2
+
2
b
c
+
c
2
)
(
a
2
+
4
a
b
+
2
a
c
+
b
2
+
2
b
c
+
c
2
)
Question
3
3.
(
3
a
+
3
2
b
)
(
9
a
2
−
9
2
a
b
+
9
4
b
2
)
(
28
a
3
+
27
8
b
3
)
(
27
a
3
+
27
8
b
3
)
(
27
a
3
+
25
8
b
3
)
(
26
a
3
+
27
8
b
3
)
(
27
a
3
+
29
8
b
3
)
Question
4
4.
(
4
a
−
3
b
−
5
c
)
2
(
16
a
2
−
26
a
b
−
40
a
c
+
9
b
2
+
30
b
c
+
25
c
2
)
(
17
a
2
−
24
a
b
−
40
a
c
+
9
b
2
+
30
b
c
+
25
c
2
)
(
16
a
2
−
21
a
b
−
40
a
c
+
9
b
2
+
30
b
c
+
25
c
2
)
(
16
a
2
−
24
a
b
−
40
a
c
+
9
b
2
+
30
b
c
+
25
c
2
)
(
15
a
2
−
24
a
b
−
40
a
c
+
9
b
2
+
30
b
c
+
25
c
2
)
Question
5
5.
(
−
a
+
2
b
)
2
(
−
4
a
b
+
4
b
2
)
(
2
a
2
−
4
a
b
+
4
b
2
)
(
a
2
−
a
b
+
4
b
2
)
(
a
2
−
6
a
b
+
4
b
2
)
(
a
2
−
4
a
b
+
4
b
2
)
Question
6
6.
(
3
2
a
−
3
b
−
2
3
c
)
2
(
5
2
a
2
−
9
a
b
−
2
a
c
+
9
b
2
+
4
b
c
+
4
9
c
2
)
(
13
6
a
2
−
9
a
b
−
2
a
c
+
9
b
2
+
4
b
c
+
4
9
c
2
)
(
9
4
a
2
−
7
a
b
−
2
a
c
+
9
b
2
+
4
b
c
+
4
9
c
2
)
(
9
4
a
2
−
9
a
b
−
2
a
c
+
9
b
2
+
4
b
c
+
4
9
c
2
)
(
9
4
a
2
−
11
a
b
−
2
a
c
+
9
b
2
+
4
b
c
+
4
9
c
2
)
Question
7
7.
(
a
−
b
)
(
a
2
+
a
b
+
b
2
)
(
a
3
−
3
b
3
)
(
2
a
3
−
b
3
)
(
−
b
3
)
(
a
3
+
2
b
3
)
(
a
3
−
b
3
)
Question
8
8.
Evaluate :
975
2
−
25
2
950975
950000
9500000
95000
950025
Question
9
9.
The value of
20
3
4
✕
19
1
4
is
399
7
16
399
9
16
399
5
16
399
1
2
399
7
18
Question
10
10.
The value of
201
1
3
✕
201
1
3
is
40535
1
11
40535
1
7
40535
1
3
40534
8
9
40535
1
9
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