EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Special Products As Identities
Grade : ICSE Grade VII
License : Non Commercial Use
Question
1
1.
(
a
−
b
)
2
(i)
(
a
2
−
2
a
b
+
b
2
)
(ii)
(
a
2
+
a
b
+
b
2
)
(iii)
(
2
a
2
−
2
a
b
+
b
2
)
(iv)
(
−
2
a
b
+
b
2
)
(v)
(
a
2
−
5
a
b
+
b
2
)
Question
2
2.
If
(
x
−
1
x
)
=
2
,
find the value of
(
x
4
+
1
x
4
)
(i)
35
(ii)
33
(iii)
31
(iv)
34
(v)
37
Question
3
3.
If
(
5
a
+
4
b
)
=
32
,
a
b
=
12
, find
(
25
a
2
+
16
b
2
)
(i)
545
(ii)
541
(iii)
544
(iv)
543
(v)
547
Question
4
4.
Evaluate :
990
2
−
10
2
(i)
98000
(ii)
980000
(iii)
9800000
(iv)
980010
(v)
980990
Question
5
5.
The value of
303
✕
295
is
(i)
89385
(ii)
89386
(iii)
89384
(iv)
89388
(v)
89383
Question
6
6.
If
(
4
x
−
1
3
x
)
=
9
,
find the value of
(
16
x
2
+
1
9
x
2
)
(i)
251
3
(ii)
85
(iii)
83
(iv)
417
5
(v)
253
3
Question
7
7.
(
−
3
a
+
3
b
−
3
c
)
2
(i)
(
9
a
2
−
21
a
b
+
18
a
c
+
9
b
2
−
18
b
c
+
9
c
2
)
(ii)
(
8
a
2
−
18
a
b
+
18
a
c
+
9
b
2
−
18
b
c
+
9
c
2
)
(iii)
(
9
a
2
−
16
a
b
+
18
a
c
+
9
b
2
−
18
b
c
+
9
c
2
)
(iv)
(
9
a
2
−
18
a
b
+
18
a
c
+
9
b
2
−
18
b
c
+
9
c
2
)
(v)
(
10
a
2
−
18
a
b
+
18
a
c
+
9
b
2
−
18
b
c
+
9
c
2
)
Question
8
8.
The value of
39
✕
39
is
(i)
1518
(ii)
1522
(iii)
1524
(iv)
1521
(v)
1520
Question
9
9.
The value of
8
1
2
✕
8
1
2
is
(i)
72
1
4
(ii)
72
1
6
(iii)
72
3
4
(iv)
71
3
4
(v)
72
1
2
Question
10
10.
The value of
18
1
2
✕
19
1
2
is
(i)
360
1
4
(ii)
360
1
2
(iii)
360
3
4
(iv)
361
1
4
(v)
361
1
2
Question
11
11.
If
(
x
−
1
x
)
=
2
,
find the value of
(
x
2
+
1
x
2
)
(i)
5
(ii)
8
(iii)
4
(iv)
6
(v)
7
Question
12
12.
(
a
+
b
+
c
)
(
a
2
−
a
b
−
a
c
+
b
2
−
b
c
+
c
2
)
(i)
(
a
3
+
b
3
+
c
3
)
(ii)
(
a
3
−
3
a
b
c
+
b
3
+
c
3
)
(iii)
(
−
3
a
b
c
+
b
3
+
c
3
)
(iv)
(
a
3
−
5
a
b
c
+
b
3
+
c
3
)
(v)
(
2
a
3
−
3
a
b
c
+
b
3
+
c
3
)
Question
13
13.
Expand
(
x
−
1
x
)
2
(i)
x
2
−
2
+
1
x
(ii)
x
2
−
2
+
1
x
2
(iii)
x
2
−
2
+
4
x
2
(iv)
x
2
−
2
+
1
x
3
(v)
−
x
2
−
2
+
1
x
2
Question
14
14.
The value of
11
✕
17
is
(i)
188
(ii)
187
(iii)
184
(iv)
190
(v)
186
Question
15
15.
If
(
a
+
b
)
=
8
,
a
b
=
12
, find
(
a
4
+
b
4
)
(i)
1312
(ii)
1314
(iii)
1310
(iv)
1313
(v)
1311
Question
16
16.
Expand
(
x
+
1
x
)
2
(i)
x
2
+
2
+
3
x
2
(ii)
x
2
+
2
+
1
x
3
(iii)
x
2
+
2
+
1
x
2
(iv)
x
3
+
2
+
1
x
2
(v)
x
2
+
2
−
2
x
2
Question
17
17.
The value of
37
✕
23
is
(i)
851
(ii)
848
(iii)
852
(iv)
853
(v)
850
Question
18
18.
The value of
400
1
2
✕
399
1
2
is
(i)
160000
1
4
(ii)
159999
1
4
(iii)
159999
1
2
(iv)
159999
3
4
(v)
160000
1
2
Question
19
19.
(
−
3
2
a
−
3
b
)
(
9
4
a
2
−
9
2
a
b
+
9
b
2
)
(i)
(
−
33
10
a
3
−
27
b
3
)
(ii)
(
−
27
8
a
3
−
30
b
3
)
(iii)
(
−
27
8
a
3
−
25
b
3
)
(iv)
(
−
7
2
a
3
−
27
b
3
)
(v)
(
−
27
8
a
3
−
27
b
3
)
Question
20
20.
The value of
20
1
4
✕
20
3
4
is
(i)
420
5
16
(ii)
420
3
14
(iii)
420
1
6
(iv)
420
3
16
(v)
420
1
16
Question
21
21.
(
3
a
−
3
b
−
5
c
)
(
9
a
2
+
9
a
b
+
15
a
c
+
9
b
2
−
15
b
c
+
25
c
2
)
(i)
(
27
a
3
−
133
a
b
c
−
27
b
3
−
125
c
3
)
(ii)
(
26
a
3
−
135
a
b
c
−
27
b
3
−
125
c
3
)
(iii)
(
27
a
3
−
137
a
b
c
−
27
b
3
−
125
c
3
)
(iv)
(
28
a
3
−
135
a
b
c
−
27
b
3
−
125
c
3
)
(v)
(
27
a
3
−
135
a
b
c
−
27
b
3
−
125
c
3
)
Question
22
22.
If
(
x
+
1
x
)
=
6
,
find the value of
(
x
2
+
1
x
2
)
(i)
37
(ii)
35
(iii)
34
(iv)
33
(v)
31
Question
23
23.
The value of
200
3
4
✕
198
1
2
is
(i)
39848
7
10
(ii)
39848
5
8
(iii)
39849
1
8
(iv)
39848
7
8
(v)
39849
1
6
Question
24
24.
(
2
a
−
3
2
b
)
2
(i)
(
5
a
2
−
6
a
b
+
9
4
b
2
)
(ii)
(
4
a
2
−
6
a
b
+
9
4
b
2
)
(iii)
(
4
a
2
−
3
a
b
+
9
4
b
2
)
(iv)
(
4
a
2
−
8
a
b
+
9
4
b
2
)
(v)
(
3
a
2
−
6
a
b
+
9
4
b
2
)
Question
25
25.
(
3
a
−
2
b
)
(
3
a
+
2
b
)
(i)
(
10
a
2
−
4
b
2
)
(ii)
(
9
a
2
−
6
b
2
)
(iii)
(
9
a
2
−
2
b
2
)
(iv)
(
9
a
2
−
4
b
2
)
(v)
(
8
a
2
−
4
b
2
)
Assignment Key
1) (i)
2) (iv)
3) (iii)
4) (ii)
5) (i)
6) (i)
7) (iv)
8) (iv)
9) (i)
10) (iii)
11) (iv)
12) (ii)
13) (ii)
14) (ii)
15) (i)
16) (iii)
17) (i)
18) (iv)
19) (v)
20) (iv)
21) (v)
22) (iii)
23) (iv)
24) (ii)
25) (iv)
