EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Special Products and Expansions
Grade : ICSE Grade VIII
License : Non Commercial Use
Question
1
1.
If
(
4
x
−
1
3
x
)
=
6
,
find the value of
(
16
x
2
+
1
9
x
2
)
(i)
116
3
(ii)
192
5
(iii)
40
(iv)
118
3
(v)
38
Question
2
2.
(
−
2
a
+
5
b
)
2
(i)
(
5
a
2
−
20
a
b
+
25
b
2
)
(ii)
(
3
a
2
−
20
a
b
+
25
b
2
)
(iii)
(
4
a
2
−
20
a
b
+
25
b
2
)
(iv)
(
4
a
2
−
22
a
b
+
25
b
2
)
(v)
(
4
a
2
−
18
a
b
+
25
b
2
)
Question
3
3.
If
(
x
2
+
1
x
2
)
=
27
,
find the value of
(
x
−
1
x
)
(i)
4
(ii)
6
(iii)
2
(iv)
5
(v)
8
Question
4
4.
(
−
3
a
−
3
b
)
(
9
a
2
−
9
a
b
+
9
b
2
)
(i)
(
−
26
a
3
−
27
b
3
)
(ii)
(
−
27
a
3
−
25
b
3
)
(iii)
(
−
27
a
3
−
27
b
3
)
(iv)
(
−
28
a
3
−
27
b
3
)
(v)
(
−
27
a
3
−
29
b
3
)
Question
5
5.
If
(
a
2
+
b
2
)
=
29
,
a
b
=
10
, find
(
a
+
b
)
(i)
7
(ii)
10
(iii)
6
(iv)
4
(v)
8
Question
6
6.
(
−
a
+
5
b
+
c
)
2
(i)
(
−
10
a
b
−
2
a
c
+
25
b
2
+
10
b
c
+
c
2
)
(ii)
(
a
2
−
13
a
b
−
2
a
c
+
25
b
2
+
10
b
c
+
c
2
)
(iii)
(
2
a
2
−
10
a
b
−
2
a
c
+
25
b
2
+
10
b
c
+
c
2
)
(iv)
(
a
2
−
10
a
b
−
2
a
c
+
25
b
2
+
10
b
c
+
c
2
)
(v)
(
a
2
−
8
a
b
−
2
a
c
+
25
b
2
+
10
b
c
+
c
2
)
Question
7
7.
(
−
2
a
+
3
b
−
5
c
)
(
4
a
2
+
6
a
b
−
10
a
c
+
9
b
2
+
15
b
c
+
25
c
2
)
(i)
(
−
9
a
3
−
90
a
b
c
+
27
b
3
−
125
c
3
)
(ii)
(
−
8
a
3
−
93
a
b
c
+
27
b
3
−
125
c
3
)
(iii)
(
−
7
a
3
−
90
a
b
c
+
27
b
3
−
125
c
3
)
(iv)
(
−
8
a
3
−
90
a
b
c
+
27
b
3
−
125
c
3
)
(v)
(
−
8
a
3
−
87
a
b
c
+
27
b
3
−
125
c
3
)
Question
8
8.
If
(
4
a
+
4
b
)
=
32
,
a
b
=
15
, find
(
64
a
3
+
64
b
3
)
(i)
9727
(ii)
9728
(iii)
9731
(iv)
9729
(v)
9726
Question
9
9.
The value of
499
3
4
✕
499
3
4
is
(i)
249749
15
16
(ii)
249750
1
18
(iii)
249750
1
14
(iv)
249750
1
16
(v)
249750
3
16
Question
10
10.
(
a
−
b
)
(
a
+
b
)
(i)
(
a
2
−
3
b
2
)
(ii)
(
−
b
2
)
(iii)
(
a
2
+
2
b
2
)
(iv)
(
2
a
2
−
b
2
)
(v)
(
a
2
−
b
2
)
Question
11
11.
(
3
a
−
3
2
b
−
3
2
c
)
2
(i)
(
9
a
2
−
9
a
b
−
9
a
c
+
9
4
b
2
+
9
2
b
c
+
9
4
c
2
)
(ii)
(
9
a
2
−
11
a
b
−
9
a
c
+
9
4
b
2
+
9
2
b
c
+
9
4
c
2
)
(iii)
(
8
a
2
−
9
a
b
−
9
a
c
+
9
4
b
2
+
9
2
b
c
+
9
4
c
2
)
(iv)
(
10
a
2
−
9
a
b
−
9
a
c
+
9
4
b
2
+
9
2
b
c
+
9
4
c
2
)
(v)
(
9
a
2
−
6
a
b
−
9
a
c
+
9
4
b
2
+
9
2
b
c
+
9
4
c
2
)
Question
12
12.
(
a
+
2
b
)
(
a
2
−
2
a
b
+
4
b
2
)
(i)
(
a
3
+
10
b
3
)
(ii)
(
a
3
+
6
b
3
)
(iii)
(
2
a
3
+
8
b
3
)
(iv)
(
a
3
+
8
b
3
)
(v)
8
b
3
Question
13
13.
Expand
(
x
−
1
x
)
2
(i)
x
2
−
2
+
1
x
2
(ii)
x
2
−
2
+
4
x
2
(iii)
−
2
x
2
−
2
+
1
x
2
(iv)
x
3
−
2
+
1
x
2
(v)
x
−
2
+
1
x
2
Question
14
14.
If
(
x
4
+
1
x
4
)
=
727
,
find the value of
(
x
−
1
x
)
(i)
4
(ii)
7
(iii)
3
(iv)
6
(v)
5
Question
15
15.
The value of
101
1
3
✕
98
2
3
is
(i)
9998
2
9
(ii)
9998
4
9
(iii)
9998
2
11
(iv)
9998
(v)
9998
2
7
Question
16
16.
The value of
17
✕
14
is
(i)
235
(ii)
239
(iii)
238
(iv)
240
(v)
237
Question
17
17.
Find the value of
15
3
+
45
3
−
60
3
(i)
27000
(ii)
(-27000)
(iii)
(-121500)
(iv)
729000
(v)
(-729000)
Question
18
18.
Evaluate
(
f
1
3
+
g
1
3
)
(
f
2
3
−
f
1
3
g
1
3
+
g
2
3
)
=
(i)
(
f
+
g
)
2
(ii)
0
(iii)
f
+
g
(iv)
f
−
g
(v)
(
f
−
g
)
2
Question
19
19.
If
(
x
4
+
1
x
4
)
=
527
,
find the value of
(
x
+
1
x
)
(i)
4
(ii)
2
(iii)
6
(iv)
8
(v)
5
Question
20
20.
(
2
a
+
3
b
)
2
(i)
(
5
a
2
+
12
a
b
+
9
b
2
)
(ii)
(
3
a
2
+
12
a
b
+
9
b
2
)
(iii)
(
4
a
2
+
10
a
b
+
9
b
2
)
(iv)
(
4
a
2
+
15
a
b
+
9
b
2
)
(v)
(
4
a
2
+
12
a
b
+
9
b
2
)
Question
21
21.
Evaluate
(
g
1
3
−
h
1
3
)
(
g
2
3
+
g
1
3
h
1
3
+
h
2
3
)
=
(i)
(
g
−
h
)
2
(ii)
0
(iii)
g
+
h
(iv)
(
g
+
h
)
2
(v)
g
−
h
Question
22
22.
If
(
a
−
b
)
=
4
,
a
b
=
21
, find
(
a
2
−
b
2
)
(i)
40
(ii)
38
(iii)
41
(iv)
39
(v)
42
Question
23
23.
Evaluate
(
d
2
−
1
)
(
d
4
+
d
2
+
1
)
=
(i)
d
6
+
2
d
4
−
1
(ii)
d
6
−
1
(iii)
0
(iv)
d
6
+
2
d
4
+
2
d
2
+
1
(v)
d
6
−
2
d
2
+
1
Question
24
24.
(
f
1
3
+
g
1
3
+
h
1
3
)
(
f
2
3
+
g
2
3
+
h
2
3
−
f
1
3
g
1
3
−
g
1
3
h
1
3
−
h
1
3
f
1
3
)
=
(i)
f
+
g
+
h
−
3
h
1
3
f
1
3
g
1
3
(ii)
(
f
+
g
+
h
)
2
(iii)
0
(iv)
(
f
−
g
−
h
)
2
(v)
(
f
−
g
−
h
)
Question
25
25.
The value of
891
✕
891
is
(i)
793882
(ii)
793879
(iii)
793884
(iv)
793881
(v)
793880
Assignment Key
1) (i)
2) (iii)
3) (iv)
4) (iii)
5) (i)
6) (iv)
7) (iv)
8) (ii)
9) (iv)
10) (v)
11) (i)
12) (iv)
13) (i)
14) (v)
15) (i)
16) (iii)
17) (iii)
18) (iii)
19) (v)
20) (v)
21) (v)
22) (i)
23) (ii)
24) (i)
25) (iv)
