EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Special Products As Identities
Grade : ICSE Grade VII
License : Non Commercial Use
Question
1
1.
If
(
4
x
−
1
3
x
)
=
7
,
find the value of
(
16
x
2
+
1
9
x
2
)
(i)
51
(ii)
155
3
(iii)
53
(iv)
257
5
(v)
157
3
Question
2
2.
If
(
x
+
1
x
)
=
5
,
find the value of
(
x
2
+
1
x
2
)
(i)
24
(ii)
26
(iii)
20
(iv)
22
(v)
23
Question
3
3.
If
(
a
+
b
)
=
9
,
a
b
=
18
, find
(
a
2
+
b
2
)
(i)
47
(ii)
44
(iii)
42
(iv)
45
(v)
46
Question
4
4.
Evaluate :
980
2
−
20
2
(i)
96000
(ii)
960980
(iii)
9600000
(iv)
960020
(v)
960000
Question
5
5.
If
(
x
−
1
x
)
=
2
,
find the value of
(
x
2
+
1
x
2
)
(i)
3
(ii)
7
(iii)
6
(iv)
9
(v)
5
Question
6
6.
(
a
+
b
)
(
a
2
−
a
b
+
b
2
)
(i)
b
3
(ii)
(
a
3
+
3
b
3
)
(iii)
(
a
3
−
2
b
3
)
(iv)
(
a
3
+
b
3
)
(v)
(
2
a
3
+
b
3
)
Question
7
7.
(
−
2
3
a
−
2
3
b
)
(
−
2
3
a
+
2
3
b
)
(i)
(
4
9
a
2
−
4
9
b
2
)
(ii)
(
4
9
a
2
−
2
9
b
2
)
(iii)
(
4
7
a
2
−
4
9
b
2
)
(iv)
(
4
9
a
2
−
2
3
b
2
)
(v)
(
4
11
a
2
−
4
9
b
2
)
Question
8
8.
(
3
a
−
3
b
)
(
9
a
2
+
9
a
b
+
9
b
2
)
(i)
(
26
a
3
−
27
b
3
)
(ii)
(
27
a
3
−
30
b
3
)
(iii)
(
27
a
3
−
25
b
3
)
(iv)
(
28
a
3
−
27
b
3
)
(v)
(
27
a
3
−
27
b
3
)
Question
9
9.
Expand
(
x
−
1
x
)
(
x
+
1
x
)
(
x
2
+
1
x
2
)
(i)
−
x
−
2
x
3
−
1
x
7
(ii)
x
5
+
x
3
+
x
+
1
x
(iii)
3
x
5
+
7
x
+
3
x
3
+
7
x
+
4
x
3
+
4
x
5
(iv)
x
4
−
1
x
4
Question
10
10.
(
−
a
+
3
b
−
4
c
)
(
a
2
+
3
a
b
−
4
a
c
+
9
b
2
+
12
b
c
+
16
c
2
)
(i)
(
−
36
a
b
c
+
27
b
3
−
64
c
3
)
(ii)
(
−
2
a
3
−
36
a
b
c
+
27
b
3
−
64
c
3
)
(iii)
(
−
a
3
−
38
a
b
c
+
27
b
3
−
64
c
3
)
(iv)
(
−
a
3
−
34
a
b
c
+
27
b
3
−
64
c
3
)
(v)
(
−
a
3
−
36
a
b
c
+
27
b
3
−
64
c
3
)
Question
11
11.
(
3
2
a
+
3
b
)
(
9
4
a
2
−
9
2
a
b
+
9
b
2
)
(i)
(
7
2
a
3
+
27
b
3
)
(ii)
(
27
8
a
3
+
24
b
3
)
(iii)
(
33
10
a
3
+
27
b
3
)
(iv)
(
27
8
a
3
+
29
b
3
)
(v)
(
27
8
a
3
+
27
b
3
)
Question
12
12.
The value of
799
1
2
✕
799
2
3
is
(i)
639334
(ii)
639333
1
4
(iii)
639333
1
2
(iv)
639334
1
2
(v)
639332
1
2
Question
13
13.
(
−
4
a
−
b
)
2
(i)
(
16
a
2
+
8
a
b
+
b
2
)
(ii)
(
16
a
2
+
10
a
b
+
b
2
)
(iii)
(
15
a
2
+
8
a
b
+
b
2
)
(iv)
(
16
a
2
+
5
a
b
+
b
2
)
(v)
(
17
a
2
+
8
a
b
+
b
2
)
Question
14
14.
Expand
(
x
−
1
x
)
2
(i)
x
2
−
2
+
1
x
(ii)
−
x
2
−
2
+
1
x
2
(iii)
x
2
−
2
+
1
x
2
(iv)
x
−
2
+
1
x
2
(v)
x
2
+
1
+
1
x
2
Question
15
15.
(
a
+
b
+
c
)
2
(i)
(
a
2
+
2
a
b
+
2
a
c
+
b
2
+
2
b
c
+
c
2
)
(ii)
(
a
2
+
4
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)
(
2
a
2
+
2
a
b
+
2
a
c
+
b
2
+
2
b
c
+
c
2
)
(v)
(
a
2
+
2
a
c
+
b
2
+
2
b
c
+
c
2
)
Question
16
16.
(
−
2
a
+
2
b
+
3
2
c
)
(
4
a
2
+
4
a
b
+
3
a
c
+
4
b
2
−
3
b
c
+
9
4
c
2
)
(i)
(
−
8
a
3
+
15
a
b
c
+
8
b
3
+
27
8
c
3
)
(ii)
(
−
7
a
3
+
18
a
b
c
+
8
b
3
+
27
8
c
3
)
(iii)
(
−
8
a
3
+
18
a
b
c
+
8
b
3
+
27
8
c
3
)
(iv)
(
−
9
a
3
+
18
a
b
c
+
8
b
3
+
27
8
c
3
)
(v)
(
−
8
a
3
+
20
a
b
c
+
8
b
3
+
27
8
c
3
)
Question
17
17.
The value of
18
✕
3
is
(i)
55
(ii)
56
(iii)
53
(iv)
52
(v)
54
Question
18
18.
The value of
27
✕
27
is
(i)
729
(ii)
728
(iii)
731
(iv)
730
(v)
727
Question
19
19.
The value of
701
1
2
✕
698
1
2
is
(i)
489997
1
2
(ii)
489997
1
4
(iii)
489997
3
4
(iv)
489998
1
2
(v)
489998
1
4
Question
20
20.
(
−
2
a
−
5
b
+
5
c
)
2
(i)
(
4
a
2
+
23
a
b
−
20
a
c
+
25
b
2
−
50
b
c
+
25
c
2
)
(ii)
(
3
a
2
+
20
a
b
−
20
a
c
+
25
b
2
−
50
b
c
+
25
c
2
)
(iii)
(
5
a
2
+
20
a
b
−
20
a
c
+
25
b
2
−
50
b
c
+
25
c
2
)
(iv)
(
4
a
2
+
20
a
b
−
20
a
c
+
25
b
2
−
50
b
c
+
25
c
2
)
(v)
(
4
a
2
+
17
a
b
−
20
a
c
+
25
b
2
−
50
b
c
+
25
c
2
)
Question
21
21.
(
2
a
+
4
b
)
(
2
a
−
4
b
)
(i)
(
4
a
2
−
14
b
2
)
(ii)
(
4
a
2
−
19
b
2
)
(iii)
(
3
a
2
−
16
b
2
)
(iv)
(
4
a
2
−
16
b
2
)
(v)
(
5
a
2
−
16
b
2
)
Question
22
22.
The value of
100
2
3
✕
98
2
3
is
(i)
9932
2
9
(ii)
9932
4
11
(iii)
9932
4
9
(iv)
9932
4
7
(v)
9932
2
3
Question
23
23.
(
a
+
b
)
(
a
−
b
)
(i)
(
−
b
2
)
(ii)
(
a
2
−
b
2
)
(iii)
(
a
2
+
2
b
2
)
(iv)
(
2
a
2
−
b
2
)
(v)
(
a
2
−
3
b
2
)
Question
24
24.
(
a
+
b
)
2
(i)
(
2
a
2
+
2
a
b
+
b
2
)
(ii)
(
a
2
+
b
2
)
(iii)
(
a
2
+
5
a
b
+
b
2
)
(iv)
(
2
a
b
+
b
2
)
(v)
(
a
2
+
2
a
b
+
b
2
)
Question
25
25.
(
a
−
b
)
2
(i)
(
a
2
−
2
a
b
+
b
2
)
(ii)
(
a
2
−
5
a
b
+
b
2
)
(iii)
(
2
a
2
−
2
a
b
+
b
2
)
(iv)
(
−
2
a
b
+
b
2
)
(v)
(
a
2
+
b
2
)
Assignment Key
1) (ii)
2) (v)
3) (iv)
4) (v)
5) (iii)
6) (iv)
7) (i)
8) (v)
9) (iv)
10) (v)
11) (v)
12) (iii)
13) (i)
14) (iii)
15) (i)
16) (iii)
17) (v)
18) (i)
19) (iii)
20) (iv)
21) (iv)
22) (iii)
23) (ii)
24) (v)
25) (i)
