EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Special Products and Expansions
Grade : ICSE Grade VIII
License : Non Commercial Use
Question
1
1.
(
−
2
a
−
3
b
)
3
(i)
(
−
8
a
3
−
34
a
2
b
−
54
a
b
2
−
27
b
3
)
(ii)
(
−
9
a
3
−
36
a
2
b
−
54
a
b
2
−
27
b
3
)
(iii)
(
−
8
a
3
−
39
a
2
b
−
54
a
b
2
−
27
b
3
)
(iv)
(
−
7
a
3
−
36
a
2
b
−
54
a
b
2
−
27
b
3
)
(v)
(
−
8
a
3
−
36
a
2
b
−
54
a
b
2
−
27
b
3
)
Question
2
2.
If
(
a
−
b
)
=
1
,
a
b
=
42
, find
(
a
2
−
b
2
)
(i)
13
(ii)
16
(iii)
10
(iv)
12
(v)
14
Question
3
3.
The expanded form of
(
2
x
+
4
)
(
3
x
+
4
)
(
x
−
5
)
is
(i)
(
7
x
3
−
10
x
2
−
84
x
−
80
)
(ii)
(
8
x
3
−
10
x
2
−
84
x
−
80
)
(iii)
(
6
x
3
−
10
x
2
−
84
x
−
80
)
(iv)
(
4
x
3
−
10
x
2
−
84
x
−
80
)
(v)
(
5
x
3
−
10
x
2
−
84
x
−
80
)
Question
4
4.
(
a
+
b
)
(
a
−
b
)
(i)
(
−
b
2
)
(ii)
(
a
2
+
b
2
)
(iii)
(
2
a
2
−
b
2
)
(iv)
(
a
2
−
b
2
)
(v)
(
a
2
−
4
b
2
)
Question
5
5.
If
(
x
4
+
1
x
4
)
=
2599
,
find the value of
(
x
−
1
x
)
(i)
8
(ii)
10
(iii)
4
(iv)
7
(v)
6
Question
6
6.
The value of
903
✕
896
is
(i)
809087
(ii)
809091
(iii)
809088
(iv)
809085
(v)
809089
Question
7
7.
If
i
1
3
+
j
1
3
+
k
1
3
= 0, then
(i)
(
i
+
j
+
k
)
=
27
i
j
k
(ii)
(
i
+
j
+
k
)
3
=
27
i
j
k
(iii)
(
i
+
j
+
k
)
=
3
i
1
3
j
1
3
k
1
3
(iv)
(
i
+
j
+
k
)
=
3
i
j
k
Question
8
8.
(
a
−
b
)
3
(i)
(
a
3
+
3
a
b
2
−
b
3
)
(ii)
(
−
3
a
2
b
+
3
a
b
2
−
b
3
)
(iii)
(
2
a
3
−
3
a
2
b
+
3
a
b
2
−
b
3
)
(iv)
(
a
3
−
5
a
2
b
+
3
a
b
2
−
b
3
)
(v)
(
a
3
−
3
a
2
b
+
3
a
b
2
−
b
3
)
Question
9
9.
(
a
+
b
)
(
a
2
−
a
b
+
b
2
)
(i)
(
a
3
−
2
b
3
)
(ii)
(
a
3
+
b
3
)
(iii)
b
3
(iv)
(
2
a
3
+
b
3
)
(v)
(
a
3
+
3
b
3
)
Question
10
10.
(
2
a
+
3
2
b
)
(
4
a
2
−
3
a
b
+
9
4
b
2
)
(i)
(
9
a
3
+
27
8
b
3
)
(ii)
(
8
a
3
+
25
8
b
3
)
(iii)
(
7
a
3
+
27
8
b
3
)
(iv)
(
8
a
3
+
29
8
b
3
)
(v)
(
8
a
3
+
27
8
b
3
)
Question
11
11.
Find
508
3
(i)
131096502
(ii)
131096512
(iii)
131096532
(iv)
131096492
(v)
131096522
Question
12
12.
If
(
4
a
+
2
b
)
=
34
,
a
b
=
30
, find
(
64
a
3
+
8
b
3
)
(i)
14827
(ii)
14825
(iii)
14822
(iv)
14823
(v)
14824
Question
13
13.
If
(
x
+
1
x
)
=
6
,
find the value of
(
x
2
+
1
x
2
)
(i)
33
(ii)
31
(iii)
35
(iv)
34
(v)
37
Question
14
14.
(
a
+
b
)
2
(i)
(
2
a
b
+
b
2
)
(ii)
(
a
2
+
5
a
b
+
b
2
)
(iii)
(
a
2
−
a
b
+
b
2
)
(iv)
(
a
2
+
2
a
b
+
b
2
)
(v)
(
2
a
2
+
2
a
b
+
b
2
)
Question
15
15.
(
3
a
+
4
b
+
c
)
(
9
a
2
−
12
a
b
−
3
a
c
+
16
b
2
−
4
b
c
+
c
2
)
(i)
(
27
a
3
−
34
a
b
c
+
64
b
3
+
c
3
)
(ii)
(
27
a
3
−
36
a
b
c
+
64
b
3
+
c
3
)
(iii)
(
26
a
3
−
36
a
b
c
+
64
b
3
+
c
3
)
(iv)
(
28
a
3
−
36
a
b
c
+
64
b
3
+
c
3
)
(v)
(
27
a
3
−
38
a
b
c
+
64
b
3
+
c
3
)
Question
16
16.
The value of
399
2
3
✕
399
1
4
is
(i)
159567
1
10
(ii)
159567
1
12
(iii)
159566
3
4
(iv)
159566
11
14
(v)
159566
11
12
Question
17
17.
The value of
702
✕
701
is
(i)
492104
(ii)
492102
(iii)
492100
(iv)
492101
(v)
492103
Question
18
18.
If
(
a
+
b
+
c
)
=
16
,
(
a
b
+
a
c
+
b
c
)
=
76
, find
(
a
2
+
b
2
+
c
2
)
(i)
106
(ii)
104
(iii)
102
(iv)
105
(v)
103
Question
19
19.
If
(
16
a
4
+
81
b
4
)
=
41472
,
a
b
=
24
, find
(
2
a
+
3
b
)
(i)
23
(ii)
26
(iii)
21
(iv)
25
(v)
24
Question
20
20.
Evaluate
(
c
1
3
−
d
1
3
)
(
c
2
3
+
c
1
3
d
1
3
+
d
2
3
)
=
(i)
c
−
d
(ii)
0
(iii)
(
c
−
d
)
2
(iv)
c
+
d
(v)
(
c
+
d
)
2
Question
21
21.
The value of
392
✕
392
is
(i)
153665
(ii)
153664
(iii)
153661
(iv)
153663
(v)
153666
Question
22
22.
If
(
x
+
1
x
)
=
2
,
find the value of
(
x
3
+
1
x
3
)
(i)
3
(ii)
2
(iii)
1
(iv)
-1
(v)
4
Question
23
23.
Evaluate
(
i
2
−
1
)
(
i
4
+
i
2
+
1
)
=
(i)
i
6
−
2
i
2
+
1
(ii)
i
6
+
2
i
4
+
2
i
2
+
1
(iii)
0
(iv)
i
6
+
2
i
4
−
1
(v)
i
6
−
1
Question
24
24.
Find the value of
30
3
+
10
3
−
40
3
(i)
(-36000)
(ii)
216000
(iii)
(-8000)
(iv)
8000
(v)
(-216000)
Question
25
25.
The value of
700
1
4
✕
700
3
4
is
(i)
490700
3
14
(ii)
490700
3
16
(iii)
490700
5
16
(iv)
490700
1
16
(v)
490700
1
6
Assignment Key
1) (v)
2) (i)
3) (iii)
4) (iv)
5) (iv)
6) (iii)
7) (iii)
8) (v)
9) (ii)
10) (v)
11) (ii)
12) (v)
13) (iv)
14) (iv)
15) (ii)
16) (v)
17) (ii)
18) (ii)
19) (v)
20) (i)
21) (ii)
22) (ii)
23) (v)
24) (i)
25) (ii)
