EduSahara™ Assignment
Name : Multiplication of Algebraic Expressions
Chapter : Fundamental Concepts
Grade : ICSE Grade VIII
License : Non Commercial Use
Question
1
1.
The value of
h
✕
h
✕
h
is
(i)
4
h
3
(ii)
h
3
(iii)
0
(iv)
(
−
2
h
3
)
(v)
2
h
3
Question
2
2.
The value of
3
f
✕
(
−
3
f
)
✕
(
−
1
)
✕
3
f
is
(i)
28
f
3
(ii)
26
f
3
(iii)
30
f
3
(iv)
27
f
3
(v)
24
f
3
Question
3
3.
The value of
(
−
8
e
)
✕
(
−
5
e
)
is
(i)
37
e
2
(ii)
43
e
2
(iii)
40
e
2
(iv)
41
e
2
(v)
39
e
2
Question
4
4.
The value of
(
−
2
e
)
✕
(
−
4
e
2
)
✕
4
e
2
is
(i)
35
e
5
(ii)
33
e
5
(iii)
29
e
5
(iv)
31
e
5
(v)
32
e
5
Question
5
5.
The value of
(
9
e
−
9
)
✕
(
7
e
−
9
)
is
(i)
(
63
e
2
−
144
e
+
81
)
(ii)
(
61
e
2
−
144
e
+
81
)
(iii)
(
66
e
2
−
144
e
+
81
)
(iv)
(
64
e
2
−
144
e
+
81
)
(v)
(
62
e
2
−
144
e
+
81
)
Question
6
6.
The value of
(
8
a
2
−
5
a
−
2
)
✕
(
8
a
2
−
a
+
7
)
is
(i)
(
63
a
4
−
48
a
3
+
45
a
2
−
33
a
−
14
)
(ii)
(
65
a
4
−
48
a
3
+
45
a
2
−
33
a
−
14
)
(iii)
(
64
a
4
−
48
a
3
+
45
a
2
−
33
a
−
14
)
(iv)
(
62
a
4
−
48
a
3
+
45
a
2
−
33
a
−
14
)
(v)
(
67
a
4
−
48
a
3
+
45
a
2
−
33
a
−
14
)
Question
7
7.
The value of
(
3
k
2
+
8
k
−
5
)
✕
(
7
k
2
−
3
k
+
3
)
is
(i)
(
18
k
4
+
47
k
3
−
50
k
2
+
39
k
−
15
)
(ii)
(
21
k
4
+
47
k
3
−
50
k
2
+
39
k
−
15
)
(iii)
(
22
k
4
+
47
k
3
−
50
k
2
+
39
k
−
15
)
(iv)
(
24
k
4
+
47
k
3
−
50
k
2
+
39
k
−
15
)
(v)
(
20
k
4
+
47
k
3
−
50
k
2
+
39
k
−
15
)
Question
8
8.
The value of
(
−
6
g
2
−
4
)
✕
(
2
g
−
1
)
✕
(
5
g
2
+
9
)
is
(i)
(
−
57
g
5
+
30
g
4
−
148
g
3
+
74
g
2
−
72
g
+
36
)
(ii)
(
−
60
g
5
+
30
g
4
−
148
g
3
+
74
g
2
−
72
g
+
36
)
(iii)
(
−
62
g
5
+
30
g
4
−
148
g
3
+
74
g
2
−
72
g
+
36
)
(iv)
(
−
59
g
5
+
30
g
4
−
148
g
3
+
74
g
2
−
72
g
+
36
)
(v)
(
−
61
g
5
+
30
g
4
−
148
g
3
+
74
g
2
−
72
g
+
36
)
Question
9
9.
The value of
1
3
g
✕
2
5
✕
1
2
g
is
(i)
1
5
g
2
(ii)
1
15
g
2
(iii)
1
17
g
2
(iv)
(
−
1
15
g
2
)
(v)
1
13
g
2
Question
10
10.
The value of
1
2
k
✕
1
2
k
✕
1
2
✕
1
2
is
(i)
(
−
1
16
k
2
)
(ii)
1
18
k
2
(iii)
3
16
k
2
(iv)
1
14
k
2
(v)
1
16
k
2
Question
11
11.
The value of
1
2
f
✕
2
5
f
2
is
(i)
3
5
f
3
(ii)
1
5
f
3
(iii)
(
−
1
5
f
3
)
(iv)
1
7
f
3
(v)
1
3
f
3
Question
12
12.
The value of
3
5
k
✕
2
3
k
2
✕
1
3
k
is
(i)
2
13
k
4
(ii)
0
(iii)
2
15
k
4
(iv)
4
15
k
4
(v)
2
17
k
4
Question
13
13.
The product of the terms
3
b
,
3
b
c
,
2
b
c
,
(
−
2
)
,
1
is
(i)
(
−
38
b
3
c
2
)
(ii)
(
−
37
b
3
c
2
)
(iii)
(
−
33
b
3
c
2
)
(iv)
(
−
36
b
3
c
2
)
(v)
(
−
35
b
3
c
2
)
Question
14
14.
The product of the terms
(
−
2
n
o
)
,
(
−
3
o
)
,
4
m
,
2
,
(
−
2
)
is
(i)
(
−
98
m
n
o
2
)
(ii)
(
−
97
m
n
o
2
)
(iii)
(
−
96
m
n
o
2
)
(iv)
(
−
93
m
n
o
2
)
(v)
(
−
95
m
n
o
2
)
Question
15
15.
The product of the terms
(
−
4
)
,
5
,
(
−
4
)
,
(
−
3
)
,
4
is
(i)
(
−
963
)
(ii)
(
−
961
)
(iii)
(
−
958
)
(iv)
(
−
960
)
(v)
(
−
959
)
Question
16
16.
The value of
(
−
6
)
✕
(
−
c
)
is
(i)
5
c
(ii)
6
c
(iii)
8
c
(iv)
7
c
(v)
4
c
Question
17
17.
The value of
6
j
✕
5
j
✕
5
j
✕
(
−
1
)
is
(i)
(
−
150
j
3
)
(ii)
(
−
152
j
3
)
(iii)
(
−
149
j
3
)
(iv)
(
−
151
j
3
)
(v)
(
−
147
j
3
)
Question
18
18.
The value of
3
u
2
v
✕
3
t
u
2
v
2
is
(i)
10
t
u
4
v
3
(ii)
8
t
u
4
v
3
(iii)
7
t
u
4
v
3
(iv)
9
t
u
4
v
3
(v)
11
t
u
4
v
3
Question
19
19.
The value of
(
−
8
q
)
✕
r
✕
6
p
q
✕
(
−
8
p
q
)
is
(i)
384
p
2
q
3
r
(ii)
383
p
2
q
3
r
(iii)
382
p
2
q
3
r
(iv)
387
p
2
q
3
r
(v)
385
p
2
q
3
r
Question
20
20.
The value of
5
(
3
v
w
−
v
)
is
(i)
(
15
v
w
−
7
v
)
(ii)
(
15
v
w
−
2
v
)
(iii)
(
16
v
w
−
5
v
)
(iv)
(
15
v
w
−
5
v
)
(v)
(
14
v
w
−
5
v
)
Question
21
21.
The value of
(
−
4
p
q
)
(
p
q
2
+
5
q
)
is
(i)
(
−
3
p
2
q
3
−
20
p
q
2
)
(ii)
(
−
4
p
2
q
3
−
17
p
q
2
)
(iii)
(
−
4
p
2
q
3
−
23
p
q
2
)
(iv)
(
−
4
p
2
q
3
−
20
p
q
2
)
(v)
(
−
5
p
2
q
3
−
20
p
q
2
)
Question
22
22.
The value of
5
c
d
(
2
b
2
c
2
+
3
c
2
d
2
)
is
(i)
(
10
b
2
c
3
d
+
15
c
3
d
3
)
(ii)
(
9
b
2
c
3
d
+
15
c
3
d
3
)
(iii)
(
11
b
2
c
3
d
+
15
c
3
d
3
)
(iv)
(
10
b
2
c
3
d
+
13
c
3
d
3
)
(v)
(
10
b
2
c
3
d
+
18
c
3
d
3
)
Question
23
23.
The value of
5
g
i
(
3
g
2
h
i
−
4
h
i
2
+
h
i
)
is
(i)
(
16
g
3
h
i
2
−
20
g
h
i
3
+
5
g
h
i
2
)
(ii)
(
15
g
3
h
i
2
−
17
g
h
i
3
+
5
g
h
i
2
)
(iii)
(
15
g
3
h
i
2
−
22
g
h
i
3
+
5
g
h
i
2
)
(iv)
(
14
g
3
h
i
2
−
20
g
h
i
3
+
5
g
h
i
2
)
(v)
(
15
g
3
h
i
2
−
20
g
h
i
3
+
5
g
h
i
2
)
Question
24
24.
The value of
1
2
(
1
2
u
v
+
1
2
u
)
is
(i)
(
1
2
u
v
+
1
4
u
)
(ii)
(
1
4
u
v
+
1
4
u
)
(iii)
(
1
4
u
v
−
1
4
u
)
(iv)
(
1
6
u
v
+
1
4
u
)
(v)
(
1
4
u
v
+
3
4
u
)
Question
25
25.
The value of
1
3
(
1
5
d
2
+
1
2
d
e
)
is
(i)
(
1
13
d
2
+
1
6
d
e
)
(ii)
(
1
17
d
2
+
1
6
d
e
)
(iii)
(
1
15
d
2
+
1
2
d
e
)
(iv)
(
1
15
d
2
+
1
6
d
e
)
(v)
(
1
15
d
2
−
1
6
d
e
)
Question
26
26.
The value of
3
4
h
(
1
5
i
2
j
2
+
1
2
j
2
)
is
(i)
(
3
22
h
i
2
j
2
+
3
8
h
j
2
)
(ii)
(
3
20
h
i
2
j
2
+
1
8
h
j
2
)
(iii)
(
3
20
h
i
2
j
2
+
3
8
h
j
2
)
(iv)
(
1
6
h
i
2
j
2
+
3
8
h
j
2
)
(v)
(
3
20
h
i
2
j
2
+
5
8
h
j
2
)
Question
27
27.
The value of
1
2
k
l
(
1
2
k
2
l
2
m
+
1
2
k
2
l
m
2
+
2
3
k
2
l
)
is
(i)
(
1
2
k
3
l
3
m
+
1
4
k
3
l
2
m
2
+
1
3
k
3
l
2
)
(ii)
(
1
4
k
3
l
3
m
−
1
4
k
3
l
2
m
2
+
1
3
k
3
l
2
)
(iii)
(
1
6
k
3
l
3
m
+
1
4
k
3
l
2
m
2
+
1
3
k
3
l
2
)
(iv)
(
1
4
k
3
l
3
m
+
3
4
k
3
l
2
m
2
+
1
3
k
3
l
2
)
(v)
(
1
4
k
3
l
3
m
+
1
4
k
3
l
2
m
2
+
1
3
k
3
l
2
)
Question
28
28.
The value of
(
6
c
+
5
)
✕
(
c
d
−
4
)
is
(i)
(
6
c
2
d
+
3
c
d
−
24
c
−
20
)
(ii)
(
6
c
2
d
+
8
c
d
−
24
c
−
20
)
(iii)
(
5
c
2
d
+
5
c
d
−
24
c
−
20
)
(iv)
(
7
c
2
d
+
5
c
d
−
24
c
−
20
)
(v)
(
6
c
2
d
+
5
c
d
−
24
c
−
20
)
Question
29
29.
The value of
1
3
u
✕
2
5
u
v
is
(i)
2
17
u
2
v
(ii)
4
15
u
2
v
(iii)
2
15
u
2
v
(iv)
2
13
u
2
v
(v)
0
Question
30
30.
The value of
1
3
r
s
✕
1
2
r
✕
3
5
s
✕
1
4
r
is
(i)
1
40
r
3
s
2
(ii)
(
−
1
40
r
3
s
2
)
(iii)
1
42
r
3
s
2
(iv)
3
40
r
3
s
2
(v)
1
38
r
3
s
2
Question
31
31.
The value of
1
2
x
2
y
2
✕
2
5
x
2
is
(i)
3
5
x
4
y
2
(ii)
(
−
1
5
x
4
y
2
)
(iii)
1
3
x
4
y
2
(iv)
1
5
x
4
y
2
(v)
1
7
x
4
y
2
Question
32
32.
The value of
3
4
w
✕
1
2
w
✕
1
3
v
w
✕
1
2
v
x
is
(i)
3
16
v
2
w
3
x
(ii)
1
18
v
2
w
3
x
(iii)
(
−
1
16
v
2
w
3
x
)
(iv)
1
14
v
2
w
3
x
(v)
1
16
v
2
w
3
x
Assignment Key
1) (ii)
2) (iv)
3) (iii)
4) (v)
5) (i)
6) (iii)
7) (ii)
8) (ii)
9) (ii)
10) (v)
11) (ii)
12) (iii)
13) (iv)
14) (iii)
15) (iv)
16) (ii)
17) (i)
18) (iv)
19) (i)
20) (iv)
21) (iv)
22) (i)
23) (v)
24) (ii)
25) (iv)
26) (iii)
27) (v)
28) (v)
29) (iii)
30) (i)
31) (iv)
32) (v)
