EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Special Products As Identities
Grade : ICSE Grade VII
License : Non Commercial Use
Question
1
1.
(
a
+
b
)
(
a
−
b
)
(i)
(
−
b
2
)
(ii)
(
a
2
−
3
b
2
)
(iii)
(
a
2
−
b
2
)
(iv)
(
a
2
+
2
b
2
)
(v)
(
2
a
2
−
b
2
)
Question
2
2.
The value of
899
✕
899
is
(i)
808201
(ii)
808198
(iii)
808200
(iv)
808202
(v)
808203
Question
3
3.
If
(
x
−
1
x
)
=
4
,
find the value of
(
x
2
+
1
x
2
)
(i)
16
(ii)
19
(iii)
17
(iv)
18
(v)
21
Question
4
4.
Expand
(
x
−
1
x
)
(
x
+
1
x
)
(
x
2
+
1
x
2
)
(i)
−
x
−
2
x
3
−
1
x
7
(ii)
4
x
5
+
8
x
+
4
x
3
+
8
x
+
4
x
3
+
4
x
5
(iii)
x
5
+
x
3
+
x
+
1
x
(iv)
x
4
−
1
x
4
Question
5
5.
If
(
x
+
1
x
)
=
7
,
find the value of
(
x
2
+
1
x
2
)
(i)
44
(ii)
47
(iii)
50
(iv)
48
(v)
46
Question
6
6.
The value of
294
✕
297
is
(i)
87317
(ii)
87319
(iii)
87316
(iv)
87318
(v)
87321
Question
7
7.
(
a
+
b
)
(
a
2
−
a
b
+
b
2
)
(i)
(
a
3
+
b
3
)
(ii)
(
2
a
3
+
b
3
)
(iii)
b
3
(iv)
(
a
3
+
3
b
3
)
(v)
(
a
3
−
2
b
3
)
Question
8
8.
(
−
3
a
+
3
2
b
+
3
c
)
2
(i)
(
9
a
2
−
6
a
b
−
18
a
c
+
9
4
b
2
+
9
b
c
+
9
c
2
)
(ii)
(
8
a
2
−
9
a
b
−
18
a
c
+
9
4
b
2
+
9
b
c
+
9
c
2
)
(iii)
(
10
a
2
−
9
a
b
−
18
a
c
+
9
4
b
2
+
9
b
c
+
9
c
2
)
(iv)
(
9
a
2
−
11
a
b
−
18
a
c
+
9
4
b
2
+
9
b
c
+
9
c
2
)
(v)
(
9
a
2
−
9
a
b
−
18
a
c
+
9
4
b
2
+
9
b
c
+
9
c
2
)
Question
9
9.
(
3
2
a
+
3
2
b
)
2
(i)
(
13
6
a
2
+
9
2
a
b
+
9
4
b
2
)
(ii)
(
9
4
a
2
+
11
2
a
b
+
9
4
b
2
)
(iii)
(
9
4
a
2
+
9
2
a
b
+
9
4
b
2
)
(iv)
(
5
2
a
2
+
9
2
a
b
+
9
4
b
2
)
(v)
(
9
4
a
2
+
7
2
a
b
+
9
4
b
2
)
Question
10
10.
(
4
a
−
b
)
2
(i)
(
16
a
2
−
6
a
b
+
b
2
)
(ii)
(
16
a
2
−
8
a
b
+
b
2
)
(iii)
(
16
a
2
−
11
a
b
+
b
2
)
(iv)
(
17
a
2
−
8
a
b
+
b
2
)
(v)
(
15
a
2
−
8
a
b
+
b
2
)
Question
11
11.
(
3
a
+
3
2
b
)
(
9
a
2
−
9
2
a
b
+
9
4
b
2
)
(i)
(
28
a
3
+
27
8
b
3
)
(ii)
(
27
a
3
+
27
8
b
3
)
(iii)
(
26
a
3
+
27
8
b
3
)
(iv)
(
27
a
3
+
29
8
b
3
)
(v)
(
27
a
3
+
25
8
b
3
)
Question
12
12.
(
a
−
b
)
(
a
2
+
a
b
+
b
2
)
(i)
(
2
a
3
−
b
3
)
(ii)
(
a
3
−
4
b
3
)
(iii)
(
−
b
3
)
(iv)
(
a
3
+
2
b
3
)
(v)
(
a
3
−
b
3
)
Question
13
13.
If
(
x
+
1
x
)
=
4
,
find the value of
(
x
4
+
1
x
4
)
(i)
195
(ii)
193
(iii)
194
(iv)
191
(v)
196
Question
14
14.
Expand
(
x
−
1
x
)
2
(i)
x
2
+
1
+
1
x
2
(ii)
x
2
−
3
+
1
x
2
(iii)
x
2
−
4
+
1
x
2
(iv)
x
2
−
2
+
1
x
2
(v)
x
2
−
1
+
1
x
2
Question
15
15.
(
−
3
a
−
3
2
b
)
2
(i)
(
9
a
2
+
12
a
b
+
9
4
b
2
)
(ii)
(
9
a
2
+
6
a
b
+
9
4
b
2
)
(iii)
(
8
a
2
+
9
a
b
+
9
4
b
2
)
(iv)
(
9
a
2
+
9
a
b
+
9
4
b
2
)
(v)
(
10
a
2
+
9
a
b
+
9
4
b
2
)
Question
16
16.
The value of
79
1
2
✕
79
1
2
is
(i)
6320
1
6
(ii)
6320
3
4
(iii)
6319
3
4
(iv)
6320
1
4
(v)
6320
1
2
Question
17
17.
The value of
809
✕
809
is
(i)
654484
(ii)
654482
(iii)
654481
(iv)
654479
(v)
654480
Question
18
18.
If
(
2
x
+
1
2
x
)
=
6
,
find the value of
(
4
x
2
+
1
4
x
2
)
(i)
35
(ii)
34
(iii)
36
(iv)
31
(v)
33
Question
19
19.
(
3
a
+
2
b
)
(
9
a
2
−
6
a
b
+
4
b
2
)
(i)
(
26
a
3
+
8
b
3
)
(ii)
(
27
a
3
+
10
b
3
)
(iii)
(
27
a
3
+
8
b
3
)
(iv)
(
27
a
3
+
5
b
3
)
(v)
(
28
a
3
+
8
b
3
)
Question
20
20.
The value of
15
✕
5
is
(i)
73
(ii)
74
(iii)
75
(iv)
76
(v)
77
Question
21
21.
If
(
a
+
b
)
=
11
,
a
b
=
30
, find
(
a
4
+
b
4
)
(i)
1924
(ii)
1919
(iii)
1921
(iv)
1920
(v)
1922
Question
22
22.
The value of
20
2
3
✕
20
2
3
is
(i)
427
1
3
(ii)
426
8
9
(iii)
427
1
11
(iv)
427
1
7
(v)
427
1
9
Question
23
23.
If
(
a
+
b
)
=
8
,
a
b
=
12
, find
(
a
2
+
b
2
)
(i)
42
(ii)
40
(iii)
38
(iv)
41
(v)
39
Question
24
24.
Expand
(
x
−
1
)
(
x
+
1
)
(
x
2
+
1
)
(i)
3
x
5
+
7
x
3
+
3
x
4
+
7
x
2
+
4
x
+
4
(ii)
x
5
+
x
4
+
x
3
+
x
2
(iii)
x
4
−
1
(iv)
−
2
x
3
−
2
x
Question
25
25.
Expand
(
x
+
1
x
)
2
(i)
x
2
+
1
+
1
x
2
(ii)
x
2
+
2
+
1
x
2
(iii)
x
2
+
0
+
1
x
2
(iv)
x
2
+
3
+
1
x
2
(v)
x
2
+
2
+
4
x
2
Assignment Key
1) (iii)
2) (i)
3) (iv)
4) (iv)
5) (ii)
6) (iv)
7) (i)
8) (v)
9) (iii)
10) (ii)
11) (ii)
12) (v)
13) (iii)
14) (iv)
15) (iv)
16) (iv)
17) (iii)
18) (ii)
19) (iii)
20) (iii)
21) (iii)
22) (v)
23) (ii)
24) (iii)
25) (ii)
