EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Special Products and Expansions
Grade : ICSE Grade VIII
License : Non Commercial Use
Question
1
1.
(
3
a
−
2
b
)
3
(i)
(
27
a
3
−
52
a
2
b
+
36
a
b
2
−
8
b
3
)
(ii)
(
28
a
3
−
54
a
2
b
+
36
a
b
2
−
8
b
3
)
(iii)
(
26
a
3
−
54
a
2
b
+
36
a
b
2
−
8
b
3
)
(iv)
(
27
a
3
−
57
a
2
b
+
36
a
b
2
−
8
b
3
)
(v)
(
27
a
3
−
54
a
2
b
+
36
a
b
2
−
8
b
3
)
Question
2
2.
If
(
x
2
+
1
x
2
)
=
79
,
find the value of
(
x
+
1
x
)
(i)
11
(ii)
7
(iii)
10
(iv)
9
(v)
8
Question
3
3.
If
(
6
a
+
2
b
)
=
34
,
a
b
=
10
, find
(
216
a
3
+
8
b
3
)
(i)
27065
(ii)
27062
(iii)
27063
(iv)
27066
(v)
27064
Question
4
4.
The expanded form of
(
x
+
5
)
(
x
+
3
)
(
x
+
7
)
(
x
−
7
)
is
(i)
(
8
x
3
−
34
x
2
−
392
x
−
735
)
(ii)
(
−
2
x
4
+
8
x
3
−
34
x
2
−
392
x
−
735
)
(iii)
(
2
x
4
+
8
x
3
−
34
x
2
−
392
x
−
735
)
(iv)
(
3
x
4
+
8
x
3
−
34
x
2
−
392
x
−
735
)
(v)
(
x
4
+
8
x
3
−
34
x
2
−
392
x
−
735
)
Question
5
5.
(
3
2
a
−
3
2
b
−
3
c
)
(
9
4
a
2
+
9
4
a
b
+
9
2
a
c
+
9
4
b
2
−
9
2
b
c
+
9
c
2
)
(i)
(
33
10
a
3
−
81
4
a
b
c
−
27
8
b
3
−
27
c
3
)
(ii)
(
27
8
a
3
−
83
4
a
b
c
−
27
8
b
3
−
27
c
3
)
(iii)
(
7
2
a
3
−
81
4
a
b
c
−
27
8
b
3
−
27
c
3
)
(iv)
(
27
8
a
3
−
81
4
a
b
c
−
27
8
b
3
−
27
c
3
)
(v)
(
27
8
a
3
−
79
4
a
b
c
−
27
8
b
3
−
27
c
3
)
Question
6
6.
Evaluate :
995
2
−
5
2
(i)
99000
(ii)
990000
(iii)
990995
(iv)
990005
(v)
9900000
Question
7
7.
If
(
x
−
1
x
)
=
2
,
find the value of
(
x
4
+
1
x
4
)
(i)
32
(ii)
35
(iii)
37
(iv)
33
(v)
34
Question
8
8.
If
(
a
4
+
b
4
)
=
1377
,
a
b
=
18
, find
(
a
+
b
)
(i)
8
(ii)
9
(iii)
7
(iv)
12
(v)
10
Question
9
9.
If
(
a
+
b
)
=
7
,
a
b
=
10
, find
(
a
2
+
b
2
)
(i)
30
(ii)
29
(iii)
26
(iv)
28
(v)
32
Question
10
10.
The value of
208
✕
208
is
(i)
43265
(ii)
43264
(iii)
43263
(iv)
43262
(v)
43267
Question
11
11.
Find the value of
8.4
3
+
7.2
3
−
15.6
3
(i)
-4741.632
(ii)
4741.632
(iii)
-2985.984
(iv)
-2830.464
(v)
2985.984
Question
12
12.
(
−
3
2
a
+
3
2
b
)
3
(i)
(
−
27
8
a
3
+
83
8
a
2
b
−
81
8
a
b
2
+
27
8
b
3
)
(ii)
(
−
33
10
a
3
+
81
8
a
2
b
−
81
8
a
b
2
+
27
8
b
3
)
(iii)
(
−
27
8
a
3
+
79
8
a
2
b
−
81
8
a
b
2
+
27
8
b
3
)
(iv)
(
−
7
2
a
3
+
81
8
a
2
b
−
81
8
a
b
2
+
27
8
b
3
)
(v)
(
−
27
8
a
3
+
81
8
a
2
b
−
81
8
a
b
2
+
27
8
b
3
)
Question
13
13.
(
−
5
a
−
4
b
)
(
25
a
2
−
20
a
b
+
16
b
2
)
(i)
(
−
125
a
3
−
62
b
3
)
(ii)
(
−
125
a
3
−
67
b
3
)
(iii)
(
−
126
a
3
−
64
b
3
)
(iv)
(
−
124
a
3
−
64
b
3
)
(v)
(
−
125
a
3
−
64
b
3
)
Question
14
14.
The value of
599
1
4
✕
599
1
4
is
(i)
359100
9
16
(ii)
359100
11
16
(iii)
359100
1
2
(iv)
359100
7
16
(v)
359100
9
14
Question
15
15.
(
a
+
b
+
c
)
(
a
2
−
a
b
−
a
c
+
b
2
−
b
c
+
c
2
)
(i)
(
a
3
−
6
a
b
c
+
b
3
+
c
3
)
(ii)
(
a
3
−
a
b
c
+
b
3
+
c
3
)
(iii)
(
2
a
3
−
3
a
b
c
+
b
3
+
c
3
)
(iv)
(
a
3
−
3
a
b
c
+
b
3
+
c
3
)
(v)
(
−
3
a
b
c
+
b
3
+
c
3
)
Question
16
16.
(
3
a
−
4
b
+
3
c
)
2
(i)
(
10
a
2
−
24
a
b
+
18
a
c
+
16
b
2
−
24
b
c
+
9
c
2
)
(ii)
(
8
a
2
−
24
a
b
+
18
a
c
+
16
b
2
−
24
b
c
+
9
c
2
)
(iii)
(
9
a
2
−
27
a
b
+
18
a
c
+
16
b
2
−
24
b
c
+
9
c
2
)
(iv)
(
9
a
2
−
21
a
b
+
18
a
c
+
16
b
2
−
24
b
c
+
9
c
2
)
(v)
(
9
a
2
−
24
a
b
+
18
a
c
+
16
b
2
−
24
b
c
+
9
c
2
)
Question
17
17.
If
(
x
+
1
x
)
=
4
,
find the value of
(
x
3
+
1
x
3
)
(i)
54
(ii)
52
(iii)
53
(iv)
51
(v)
49
Question
18
18.
If
(
4
x
−
1
3
x
)
=
3
,
find the value of
(
64
x
3
−
1
27
x
3
)
(i)
39
(ii)
37
(iii)
42
(iv)
40
(v)
38
Question
19
19.
If
(
x
4
+
1
x
4
)
=
2
,
find the value of
(
x
+
1
x
)
(i)
3
(ii)
1
(iii)
0
(iv)
5
(v)
2
Question
20
20.
(
−
3
2
a
−
2
3
b
)
(
9
4
a
2
−
a
b
+
4
9
b
2
)
(i)
(
−
27
8
a
3
−
2
9
b
3
)
(ii)
(
−
33
10
a
3
−
8
27
b
3
)
(iii)
(
−
27
8
a
3
−
8
27
b
3
)
(iv)
(
−
7
2
a
3
−
8
27
b
3
)
(v)
(
−
27
8
a
3
−
10
27
b
3
)
Question
21
21.
Evaluate
(
j
2
−
1
)
(
j
4
+
j
2
+
1
)
=
(i)
0
(ii)
j
6
+
2
j
4
+
2
j
2
+
1
(iii)
j
6
+
2
j
4
−
1
(iv)
j
6
−
2
j
2
+
1
(v)
j
6
−
1
Question
22
22.
(
a
+
4
b
)
2
(i)
(
a
2
+
8
a
b
+
16
b
2
)
(ii)
(
2
a
2
+
8
a
b
+
16
b
2
)
(iii)
(
a
2
+
11
a
b
+
16
b
2
)
(iv)
(
8
a
b
+
16
b
2
)
(v)
(
a
2
+
5
a
b
+
16
b
2
)
Question
23
23.
(
−
3
2
a
+
3
2
b
)
2
(i)
(
9
4
a
2
−
11
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)
(
13
6
a
2
−
9
2
a
b
+
9
4
b
2
)
(v)
(
5
2
a
2
−
9
2
a
b
+
9
4
b
2
)
Question
24
24.
(
a
+
b
+
c
)
2
(i)
(
a
2
−
a
b
+
2
a
c
+
b
2
+
2
b
c
+
c
2
)
(ii)
(
a
2
+
5
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
b
+
2
a
c
+
b
2
+
2
b
c
+
c
2
)
Question
25
25.
The value of
89
2
3
✕
89
1
2
is
(i)
8025
1
4
(ii)
8025
1
6
(iii)
8025
1
8
(iv)
8025
1
2
(v)
8024
5
6
Assignment Key
1) (v)
2) (iv)
3) (v)
4) (v)
5) (iv)
6) (ii)
7) (v)
8) (ii)
9) (ii)
10) (ii)
11) (iv)
12) (v)
13) (v)
14) (i)
15) (iv)
16) (v)
17) (ii)
18) (i)
19) (v)
20) (iii)
21) (v)
22) (i)
23) (iii)
24) (v)
25) (ii)
