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
3
b
)
(
9
a
2
+
2
a
b
+
4
9
b
2
)
(i)
(
27
a
3
−
8
27
b
3
)
(ii)
(
27
a
3
−
2
9
b
3
)
(iii)
(
27
a
3
−
10
27
b
3
)
(iv)
(
26
a
3
−
8
27
b
3
)
(v)
(
28
a
3
−
8
27
b
3
)
Question
2
2.
If
(
x
+
1
x
)
=
9
,
find the value of
(
x
4
+
1
x
4
)
(i)
6241
(ii)
6239
(iii)
6237
(iv)
6238
(v)
6240
Question
3
3.
(
a
−
b
)
2
(i)
(
a
2
−
2
a
b
+
b
2
)
(ii)
(
a
2
+
a
b
+
b
2
)
(iii)
(
a
2
−
5
a
b
+
b
2
)
(iv)
(
−
2
a
b
+
b
2
)
(v)
(
2
a
2
−
2
a
b
+
b
2
)
Question
4
4.
The value of
70
2
3
✕
68
1
2
is
(i)
4840
2
3
(ii)
4840
(iii)
4842
(iv)
4840
2
5
(v)
4841
1
3
Question
5
5.
(
a
−
b
)
(
a
2
+
a
b
+
b
2
)
(i)
(
a
3
+
2
b
3
)
(ii)
(
a
3
−
b
3
)
(iii)
(
−
b
3
)
(iv)
(
a
3
−
4
b
3
)
(v)
(
2
a
3
−
b
3
)
Question
6
6.
If
(
a
−
b
)
=
1
,
a
b
=
6
, find
(
a
4
−
b
4
)
(i)
62
(ii)
66
(iii)
64
(iv)
67
(v)
65
Question
7
7.
If
(
a
−
b
)
=
1
,
a
b
=
12
, find
(
a
2
−
b
2
)
(i)
6
(ii)
5
(iii)
7
(iv)
10
(v)
8
Question
8
8.
(
−
a
+
4
b
+
c
)
(
a
2
+
4
a
b
+
a
c
+
16
b
2
−
4
b
c
+
c
2
)
(i)
(
−
a
3
+
10
a
b
c
+
64
b
3
+
c
3
)
(ii)
(
−
2
a
3
+
12
a
b
c
+
64
b
3
+
c
3
)
(iii)
(
12
a
b
c
+
64
b
3
+
c
3
)
(iv)
(
−
a
3
+
12
a
b
c
+
64
b
3
+
c
3
)
(v)
(
−
a
3
+
15
a
b
c
+
64
b
3
+
c
3
)
Question
9
9.
Find
496
3
(i)
122023926
(ii)
122023956
(iii)
122023936
(iv)
122023916
(v)
122023946
Question
10
10.
(
a
−
b
)
3
(i)
(
a
3
+
3
a
b
2
−
b
3
)
(ii)
(
2
a
3
−
3
a
2
b
+
3
a
b
2
−
b
3
)
(iii)
(
−
3
a
2
b
+
3
a
b
2
−
b
3
)
(iv)
(
a
3
−
3
a
2
b
+
3
a
b
2
−
b
3
)
(v)
(
a
3
−
6
a
2
b
+
3
a
b
2
−
b
3
)
Question
11
11.
(
−
5
a
−
b
)
3
(i)
(
−
125
a
3
−
77
a
2
b
−
15
a
b
2
−
b
3
)
(ii)
(
−
125
a
3
−
73
a
2
b
−
15
a
b
2
−
b
3
)
(iii)
(
−
126
a
3
−
75
a
2
b
−
15
a
b
2
−
b
3
)
(iv)
(
−
124
a
3
−
75
a
2
b
−
15
a
b
2
−
b
3
)
(v)
(
−
125
a
3
−
75
a
2
b
−
15
a
b
2
−
b
3
)
Question
12
12.
The value of
809
✕
807
is
(i)
652862
(ii)
652866
(iii)
652861
(iv)
652864
(v)
652863
Question
13
13.
If
(
x
2
+
1
x
2
)
=
83
,
find the value of
(
x
−
1
x
)
(i)
10
(ii)
6
(iii)
12
(iv)
9
(v)
8
Question
14
14.
If
(
4
a
+
6
b
)
=
44
,
a
b
=
20
, find
(
64
a
3
+
216
b
3
)
(i)
21822
(ii)
21825
(iii)
21827
(iv)
21824
(v)
21823
Question
15
15.
If
(
x
4
+
1
x
4
)
=
2599
,
find the value of
(
x
−
1
x
)
(i)
5
(ii)
10
(iii)
7
(iv)
8
(v)
6
Question
16
16.
The value of
90
2
3
✕
90
1
4
is
(i)
8182
(ii)
8182
2
3
(iii)
8182
2
5
(iv)
8183
1
3
(v)
8184
Question
17
17.
(
a
+
b
)
2
(i)
(
a
2
+
4
a
b
+
b
2
)
(ii)
(
2
a
b
+
b
2
)
(iii)
(
a
2
+
2
a
b
+
b
2
)
(iv)
(
a
2
+
b
2
)
(v)
(
2
a
2
+
2
a
b
+
b
2
)
Question
18
18.
(
3
2
a
+
2
b
)
2
(i)
(
13
6
a
2
+
6
a
b
+
4
b
2
)
(ii)
(
5
2
a
2
+
6
a
b
+
4
b
2
)
(iii)
(
9
4
a
2
+
9
a
b
+
4
b
2
)
(iv)
(
9
4
a
2
+
3
a
b
+
4
b
2
)
(v)
(
9
4
a
2
+
6
a
b
+
4
b
2
)
Question
19
19.
(
−
2
a
−
3
2
b
)
(
4
a
2
−
3
a
b
+
9
4
b
2
)
(i)
(
−
8
a
3
−
25
8
b
3
)
(ii)
(
−
8
a
3
−
29
8
b
3
)
(iii)
(
−
7
a
3
−
27
8
b
3
)
(iv)
(
−
8
a
3
−
27
8
b
3
)
(v)
(
−
9
a
3
−
27
8
b
3
)
Question
20
20.
(
−
2
a
+
4
b
)
3
(i)
(
−
8
a
3
+
48
a
2
b
−
96
a
b
2
+
64
b
3
)
(ii)
(
−
8
a
3
+
46
a
2
b
−
96
a
b
2
+
64
b
3
)
(iii)
(
−
8
a
3
+
50
a
2
b
−
96
a
b
2
+
64
b
3
)
(iv)
(
−
7
a
3
+
48
a
2
b
−
96
a
b
2
+
64
b
3
)
(v)
(
−
9
a
3
+
48
a
2
b
−
96
a
b
2
+
64
b
3
)
Question
21
21.
If
(
a
4
+
b
4
)
=
1921
,
a
b
=
30
, find
(
a
+
b
)
(i)
12
(ii)
11
(iii)
14
(iv)
10
(v)
8
Question
22
22.
If
(
x
−
1
x
)
=
2
,
find the value of
(
x
4
+
1
x
4
)
(i)
31
(ii)
33
(iii)
37
(iv)
34
(v)
35
Question
23
23.
The expanded form of
(
x
−
2
)
(
x
+
9
)
(
x
−
2
)
(
x
+
5
)
is
(i)
(
10
x
3
−
7
x
2
−
124
x
+
180
)
(ii)
(
3
x
4
+
10
x
3
−
7
x
2
−
124
x
+
180
)
(iii)
(
2
x
4
+
10
x
3
−
7
x
2
−
124
x
+
180
)
(iv)
(
−
x
4
+
10
x
3
−
7
x
2
−
124
x
+
180
)
(v)
(
x
4
+
10
x
3
−
7
x
2
−
124
x
+
180
)
Question
24
24.
If
(
a
+
b
+
c
)
=
9
,
(
a
b
+
a
c
+
b
c
)
=
23
, find
(
a
2
+
b
2
+
c
2
)
(i)
33
(ii)
35
(iii)
34
(iv)
36
(v)
38
Question
25
25.
Find
108
3
(i)
1259732
(ii)
1259722
(iii)
1259692
(iv)
1259702
(v)
1259712
Assignment Key
1) (i)
2) (ii)
3) (i)
4) (i)
5) (ii)
6) (v)
7) (iii)
8) (iv)
9) (iii)
10) (iv)
11) (v)
12) (v)
13) (iv)
14) (iv)
15) (iii)
16) (ii)
17) (iii)
18) (v)
19) (iv)
20) (i)
21) (ii)
22) (iv)
23) (v)
24) (ii)
25) (v)
