EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Special Products As Identities
Grade : ICSE Grade VII
License : Non Commercial Use
Question
1
1.
(
3
2
a
−
2
b
−
3
c
)
(
9
4
a
2
+
3
a
b
+
9
2
a
c
+
4
b
2
−
6
b
c
+
9
c
2
)
(i)
(
27
8
a
3
−
27
a
b
c
−
8
b
3
−
27
c
3
)
(ii)
(
7
2
a
3
−
27
a
b
c
−
8
b
3
−
27
c
3
)
(iii)
(
33
10
a
3
−
27
a
b
c
−
8
b
3
−
27
c
3
)
(iv)
(
27
8
a
3
−
30
a
b
c
−
8
b
3
−
27
c
3
)
(v)
(
27
8
a
3
−
25
a
b
c
−
8
b
3
−
27
c
3
)
Question
2
2.
(
a
−
b
)
2
(i)
(
−
2
a
b
+
b
2
)
(ii)
(
a
2
−
2
a
b
+
b
2
)
(iii)
(
2
a
2
−
2
a
b
+
b
2
)
(iv)
(
a
2
+
a
b
+
b
2
)
(v)
(
a
2
−
5
a
b
+
b
2
)
Question
3
3.
(
a
−
b
)
(
a
2
+
a
b
+
b
2
)
(i)
(
2
a
3
−
b
3
)
(ii)
(
a
3
−
3
b
3
)
(iii)
(
a
3
+
2
b
3
)
(iv)
(
−
b
3
)
(v)
(
a
3
−
b
3
)
Question
4
4.
(
a
+
b
)
(
a
2
−
a
b
+
b
2
)
(i)
(
2
a
3
+
b
3
)
(ii)
(
a
3
−
2
b
3
)
(iii)
(
a
3
+
b
3
)
(iv)
(
a
3
+
3
b
3
)
(v)
b
3
Question
5
5.
(
−
3
a
−
3
b
)
2
(i)
(
9
a
2
+
18
a
b
+
9
b
2
)
(ii)
(
9
a
2
+
15
a
b
+
9
b
2
)
(iii)
(
10
a
2
+
18
a
b
+
9
b
2
)
(iv)
(
8
a
2
+
18
a
b
+
9
b
2
)
(v)
(
9
a
2
+
20
a
b
+
9
b
2
)
Question
6
6.
(
3
2
a
−
2
b
)
(
9
4
a
2
+
3
a
b
+
4
b
2
)
(i)
(
33
10
a
3
−
8
b
3
)
(ii)
(
27
8
a
3
−
11
b
3
)
(iii)
(
27
8
a
3
−
5
b
3
)
(iv)
(
7
2
a
3
−
8
b
3
)
(v)
(
27
8
a
3
−
8
b
3
)
Question
7
7.
The value of
798
2
3
✕
799
1
3
is
(i)
638401
1
7
(ii)
638400
2
3
(iii)
638400
8
9
(iv)
638401
1
9
(v)
638400
8
11
Question
8
8.
The value of
598
✕
598
is
(i)
357607
(ii)
357604
(iii)
357603
(iv)
357605
(v)
357601
Question
9
9.
(
a
+
b
)
(
a
−
b
)
(i)
(
a
2
−
b
2
)
(ii)
(
a
2
−
3
b
2
)
(iii)
(
a
2
+
2
b
2
)
(iv)
(
2
a
2
−
b
2
)
(v)
(
−
b
2
)
Question
10
10.
(
−
3
a
+
2
b
+
3
c
)
2
(i)
(
8
a
2
−
12
a
b
−
18
a
c
+
4
b
2
+
12
b
c
+
9
c
2
)
(ii)
(
9
a
2
−
12
a
b
−
18
a
c
+
4
b
2
+
12
b
c
+
9
c
2
)
(iii)
(
10
a
2
−
12
a
b
−
18
a
c
+
4
b
2
+
12
b
c
+
9
c
2
)
(iv)
(
9
a
2
−
14
a
b
−
18
a
c
+
4
b
2
+
12
b
c
+
9
c
2
)
(v)
(
9
a
2
−
9
a
b
−
18
a
c
+
4
b
2
+
12
b
c
+
9
c
2
)
Question
11
11.
(
5
a
−
3
b
)
2
(i)
(
26
a
2
−
30
a
b
+
9
b
2
)
(ii)
(
24
a
2
−
30
a
b
+
9
b
2
)
(iii)
(
25
a
2
−
28
a
b
+
9
b
2
)
(iv)
(
25
a
2
−
32
a
b
+
9
b
2
)
(v)
(
25
a
2
−
30
a
b
+
9
b
2
)
Question
12
12.
(
2
a
+
3
2
b
)
2
(i)
(
5
a
2
+
6
a
b
+
9
4
b
2
)
(ii)
(
4
a
2
+
3
a
b
+
9
4
b
2
)
(iii)
(
4
a
2
+
9
a
b
+
9
4
b
2
)
(iv)
(
4
a
2
+
6
a
b
+
9
4
b
2
)
(v)
(
3
a
2
+
6
a
b
+
9
4
b
2
)
Question
13
13.
(
3
a
−
5
b
)
(
3
a
+
5
b
)
(i)
(
9
a
2
−
25
b
2
)
(ii)
(
8
a
2
−
25
b
2
)
(iii)
(
9
a
2
−
27
b
2
)
(iv)
(
10
a
2
−
25
b
2
)
(v)
(
9
a
2
−
22
b
2
)
Question
14
14.
The value of
899
1
2
✕
899
1
2
is
(i)
809100
1
2
(ii)
809100
1
6
(iii)
809100
3
4
(iv)
809099
3
4
(v)
809100
1
4
Question
15
15.
The value of
603
✕
603
is
(i)
363611
(ii)
363608
(iii)
363607
(iv)
363610
(v)
363609
Question
16
16.
(
a
+
b
+
c
)
2
(i)
(
a
2
+
4
a
b
+
2
a
c
+
b
2
+
2
b
c
+
c
2
)
(ii)
(
a
2
−
a
b
+
2
a
c
+
b
2
+
2
b
c
+
c
2
)
(iii)
(
2
a
b
+
2
a
c
+
b
2
+
2
b
c
+
c
2
)
(iv)
(
a
2
+
2
a
b
+
2
a
c
+
b
2
+
2
b
c
+
c
2
)
(v)
(
2
a
2
+
2
a
b
+
2
a
c
+
b
2
+
2
b
c
+
c
2
)
Question
17
17.
(
5
a
+
b
)
2
(i)
(
26
a
2
+
10
a
b
+
b
2
)
(ii)
(
24
a
2
+
10
a
b
+
b
2
)
(iii)
(
25
a
2
+
7
a
b
+
b
2
)
(iv)
(
25
a
2
+
13
a
b
+
b
2
)
(v)
(
25
a
2
+
10
a
b
+
b
2
)
Question
18
18.
If
(
2
a
+
2
b
)
=
14
,
a
b
=
10
, find
(
4
a
2
+
4
b
2
)
(i)
119
(ii)
113
(iii)
115
(iv)
117
(v)
116
Question
19
19.
If
(
x
+
1
x
)
=
9
,
find the value of
(
x
4
+
1
x
4
)
(i)
6238
(ii)
6237
(iii)
6239
(iv)
6240
(v)
6241
Question
20
20.
Expand
(
x
−
1
x
)
(
x
+
1
x
)
(
x
2
+
1
x
2
)
(i)
x
4
−
1
x
4
(ii)
x
5
+
x
3
+
x
+
1
x
(iii)
−
x
−
2
x
3
−
1
x
7
(iv)
3
x
5
+
6
x
+
3
x
3
+
6
x
+
3
x
3
+
3
x
5
Question
21
21.
If
(
3
x
−
1
3
x
)
=
5
,
find the value of
(
9
x
2
+
1
9
x
2
)
(i)
26
(ii)
27
(iii)
24
(iv)
29
(v)
28
Question
22
22.
The value of
700
2
3
✕
700
1
2
is
(i)
490819
(ii)
490816
(iii)
490817
(iv)
490818
(v)
490814
Question
23
23.
(
3
2
a
−
3
b
)
(
9
4
a
2
+
9
2
a
b
+
9
b
2
)
(i)
(
27
8
a
3
−
27
b
3
)
(ii)
(
27
8
a
3
−
25
b
3
)
(iii)
(
7
2
a
3
−
27
b
3
)
(iv)
(
33
10
a
3
−
27
b
3
)
(v)
(
27
8
a
3
−
29
b
3
)
Question
24
24.
The value of
306
✕
294
is
(i)
89967
(ii)
89961
(iii)
89963
(iv)
89964
(v)
89965
Question
25
25.
(
−
4
a
+
3
b
+
4
c
)
(
16
a
2
+
12
a
b
+
16
a
c
+
9
b
2
−
12
b
c
+
16
c
2
)
(i)
(
−
63
a
3
+
144
a
b
c
+
27
b
3
+
64
c
3
)
(ii)
(
−
64
a
3
+
144
a
b
c
+
27
b
3
+
64
c
3
)
(iii)
(
−
64
a
3
+
147
a
b
c
+
27
b
3
+
64
c
3
)
(iv)
(
−
64
a
3
+
142
a
b
c
+
27
b
3
+
64
c
3
)
(v)
(
−
65
a
3
+
144
a
b
c
+
27
b
3
+
64
c
3
)
Assignment Key
1) (i)
2) (ii)
3) (v)
4) (iii)
5) (i)
6) (v)
7) (iii)
8) (ii)
9) (i)
10) (ii)
11) (v)
12) (iv)
13) (i)
14) (v)
15) (v)
16) (iv)
17) (v)
18) (v)
19) (iii)
20) (i)
21) (ii)
22) (iii)
23) (i)
24) (iv)
25) (ii)
