EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Special Products As Identities
Grade : ICSE Grade VII
License : Non Commercial Use
Question
1
1.
(
3
a
+
5
b
+
c
)
2
(i)
(
9
a
2
+
33
a
b
+
6
a
c
+
25
b
2
+
10
b
c
+
c
2
)
(ii)
(
9
a
2
+
28
a
b
+
6
a
c
+
25
b
2
+
10
b
c
+
c
2
)
(iii)
(
8
a
2
+
30
a
b
+
6
a
c
+
25
b
2
+
10
b
c
+
c
2
)
(iv)
(
9
a
2
+
30
a
b
+
6
a
c
+
25
b
2
+
10
b
c
+
c
2
)
(v)
(
10
a
2
+
30
a
b
+
6
a
c
+
25
b
2
+
10
b
c
+
c
2
)
Question
2
2.
The value of
107
✕
107
is
(i)
11450
(ii)
11448
(iii)
11449
(iv)
11446
(v)
11451
Question
3
3.
If
(
3
a
+
3
b
)
=
24
,
a
b
=
15
, find
(
81
a
4
+
81
b
4
)
(i)
57187
(ii)
57183
(iii)
57186
(iv)
57185
(v)
57189
Question
4
4.
The value of
100
3
4
✕
101
1
3
is
(i)
10208
2
3
(ii)
10210
(iii)
10209
1
5
(iv)
10209
1
3
Question
5
5.
(
a
+
b
)
(
a
2
−
a
b
+
b
2
)
(i)
b
3
(ii)
(
a
3
−
b
3
)
(iii)
(
2
a
3
+
b
3
)
(iv)
(
a
3
+
4
b
3
)
(v)
(
a
3
+
b
3
)
Question
6
6.
If
(
a
+
b
)
=
9
,
a
b
=
18
, find
(
a
2
+
b
2
)
(i)
47
(ii)
46
(iii)
43
(iv)
44
(v)
45
Question
7
7.
(
4
a
−
2
b
)
2
(i)
(
16
a
2
−
13
a
b
+
4
b
2
)
(ii)
(
17
a
2
−
16
a
b
+
4
b
2
)
(iii)
(
16
a
2
−
16
a
b
+
4
b
2
)
(iv)
(
15
a
2
−
16
a
b
+
4
b
2
)
(v)
(
16
a
2
−
18
a
b
+
4
b
2
)
Question
8
8.
The value of
300
1
4
✕
300
1
4
is
(i)
90150
1
18
(ii)
90150
3
16
(iii)
90150
1
16
(iv)
90149
15
16
(v)
90150
1
14
Question
9
9.
(
3
2
a
−
3
2
b
)
(
9
4
a
2
+
9
4
a
b
+
9
4
b
2
)
(i)
(
7
2
a
3
−
27
8
b
3
)
(ii)
(
27
8
a
3
−
25
8
b
3
)
(iii)
(
27
8
a
3
−
27
8
b
3
)
(iv)
(
27
8
a
3
−
29
8
b
3
)
(v)
(
33
10
a
3
−
27
8
b
3
)
Question
10
10.
(
−
3
a
−
2
3
b
)
(
9
a
2
−
2
a
b
+
4
9
b
2
)
(i)
(
−
26
a
3
−
8
27
b
3
)
(ii)
(
−
27
a
3
−
8
27
b
3
)
(iii)
(
−
28
a
3
−
8
27
b
3
)
(iv)
(
−
27
a
3
−
10
27
b
3
)
(v)
(
−
27
a
3
−
2
9
b
3
)
Question
11
11.
The value of
87
✕
86
is
(i)
7482
(ii)
7481
(iii)
7483
(iv)
7480
(v)
7485
Question
12
12.
(
−
4
a
+
4
b
)
(
16
a
2
+
16
a
b
+
16
b
2
)
(i)
(
−
64
a
3
+
66
b
3
)
(ii)
(
−
64
a
3
+
61
b
3
)
(iii)
(
−
64
a
3
+
64
b
3
)
(iv)
(
−
63
a
3
+
64
b
3
)
(v)
(
−
65
a
3
+
64
b
3
)
Question
13
13.
The value of
208
✕
192
is
(i)
39937
(ii)
39936
(iii)
39935
(iv)
39939
(v)
39933
Question
14
14.
(
4
a
−
3
b
)
2
(i)
(
16
a
2
−
24
a
b
+
9
b
2
)
(ii)
(
15
a
2
−
24
a
b
+
9
b
2
)
(iii)
(
16
a
2
−
26
a
b
+
9
b
2
)
(iv)
(
16
a
2
−
21
a
b
+
9
b
2
)
(v)
(
17
a
2
−
24
a
b
+
9
b
2
)
Question
15
15.
(
a
+
b
+
c
)
(
a
2
−
a
b
−
a
c
+
b
2
−
b
c
+
c
2
)
(i)
(
a
3
+
b
3
+
c
3
)
(ii)
(
2
a
3
−
3
a
b
c
+
b
3
+
c
3
)
(iii)
(
a
3
−
3
a
b
c
+
b
3
+
c
3
)
(iv)
(
−
3
a
b
c
+
b
3
+
c
3
)
(v)
(
a
3
−
5
a
b
c
+
b
3
+
c
3
)
Question
16
16.
(
a
+
b
)
(
a
−
b
)
(i)
(
2
a
2
−
b
2
)
(ii)
(
−
b
2
)
(iii)
(
a
2
+
2
b
2
)
(iv)
(
a
2
−
4
b
2
)
(v)
(
a
2
−
b
2
)
Question
17
17.
(
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
−
7
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
−
11
2
a
b
+
9
4
b
2
)
Question
18
18.
Expand
(
x
−
1
)
(
x
+
1
)
(
x
2
+
1
)
(i)
−
2
x
3
−
2
x
(ii)
x
4
−
1
(iii)
x
5
+
x
4
+
x
3
+
x
2
(iv)
4
x
5
+
8
x
3
+
4
x
4
+
8
x
2
+
4
x
+
4
Question
19
19.
If
(
x
+
1
x
)
=
7
,
find the value of
(
x
4
+
1
x
4
)
(i)
2205
(ii)
2209
(iii)
2208
(iv)
2206
(v)
2207
Question
20
20.
Evaluate :
980
2
−
20
2
(i)
96000
(ii)
960000
(iii)
9600000
(iv)
960980
(v)
960020
Question
21
21.
(
a
+
b
+
c
)
2
(i)
(
a
2
−
a
b
+
2
a
c
+
b
2
+
2
b
c
+
c
2
)
(ii)
(
a
2
+
2
a
b
+
2
a
c
+
b
2
+
2
b
c
+
c
2
)
(iii)
(
2
a
2
+
2
a
b
+
2
a
c
+
b
2
+
2
b
c
+
c
2
)
(iv)
(
2
a
b
+
2
a
c
+
b
2
+
2
b
c
+
c
2
)
(v)
(
a
2
+
5
a
b
+
2
a
c
+
b
2
+
2
b
c
+
c
2
)
Question
22
22.
(
−
2
3
a
−
2
3
b
)
2
(i)
(
4
9
a
2
+
10
9
a
b
+
4
9
b
2
)
(ii)
(
4
9
a
2
+
2
3
a
b
+
4
9
b
2
)
(iii)
(
4
11
a
2
+
8
9
a
b
+
4
9
b
2
)
(iv)
(
4
9
a
2
+
8
9
a
b
+
4
9
b
2
)
(v)
(
4
7
a
2
+
8
9
a
b
+
4
9
b
2
)
Question
23
23.
The value of
49
2
3
✕
49
2
3
is
(i)
2466
5
9
(ii)
2467
(iii)
2466
7
11
(iv)
2466
7
9
Question
24
24.
(
−
3
2
a
−
3
b
−
2
3
c
)
(
9
4
a
2
−
9
2
a
b
−
a
c
+
9
b
2
−
2
b
c
+
4
9
c
2
)
(i)
(
−
27
8
a
3
+
7
a
b
c
−
27
b
3
−
8
27
c
3
)
(ii)
(
−
27
8
a
3
+
9
a
b
c
−
27
b
3
−
8
27
c
3
)
(iii)
(
−
27
8
a
3
+
11
a
b
c
−
27
b
3
−
8
27
c
3
)
(iv)
(
−
33
10
a
3
+
9
a
b
c
−
27
b
3
−
8
27
c
3
)
(v)
(
−
7
2
a
3
+
9
a
b
c
−
27
b
3
−
8
27
c
3
)
Question
25
25.
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
Assignment Key
1) (iv)
2) (iii)
3) (iii)
4) (iv)
5) (v)
6) (v)
7) (iii)
8) (iii)
9) (iii)
10) (ii)
11) (i)
12) (iii)
13) (ii)
14) (i)
15) (iii)
16) (v)
17) (iii)
18) (ii)
19) (v)
20) (ii)
21) (ii)
22) (iv)
23) (iv)
24) (ii)
25) (iv)
