EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Special Products and Expansions
Grade : ICSE Grade VIII
License : Non Commercial Use
Question
1
1.
If
(
x
4
+
1
x
4
)
=
322
,
find the value of
(
x
−
1
x
)
(i)
7
(ii)
3
(iii)
4
(iv)
2
(v)
5
Question
2
2.
(
−
5
a
+
2
b
)
2
(i)
(
26
a
2
−
20
a
b
+
4
b
2
)
(ii)
(
24
a
2
−
20
a
b
+
4
b
2
)
(iii)
(
25
a
2
−
17
a
b
+
4
b
2
)
(iv)
(
25
a
2
−
22
a
b
+
4
b
2
)
(v)
(
25
a
2
−
20
a
b
+
4
b
2
)
Question
3
3.
If
(
2
x
−
1
3
x
)
=
8
,
find the value of
(
8
x
3
−
1
27
x
3
)
(i)
531
(ii)
527
(iii)
529
(iv)
525
(v)
528
Question
4
4.
(
3
2
a
+
3
b
)
2
(i)
(
9
4
a
2
+
7
a
b
+
9
b
2
)
(ii)
(
13
6
a
2
+
9
a
b
+
9
b
2
)
(iii)
(
9
4
a
2
+
9
a
b
+
9
b
2
)
(iv)
(
9
4
a
2
+
12
a
b
+
9
b
2
)
(v)
(
5
2
a
2
+
9
a
b
+
9
b
2
)
Question
5
5.
Expand
(
x
+
1
x
)
2
(i)
x
+
2
+
1
x
2
(ii)
x
2
−
1
+
1
x
2
(iii)
x
2
+
3
+
1
x
2
(iv)
x
2
+
2
+
1
x
2
(v)
x
2
+
4
+
1
x
2
Question
6
6.
(
a
+
b
)
2
(i)
(
2
a
b
+
b
2
)
(ii)
(
a
2
+
2
a
b
+
b
2
)
(iii)
(
2
a
2
+
2
a
b
+
b
2
)
(iv)
(
a
2
+
b
2
)
(v)
(
a
2
+
5
a
b
+
b
2
)
Question
7
7.
If
(
a
+
b
+
c
)
=
15
,
(
a
2
+
b
2
+
c
2
)
=
77
, find
(
a
b
+
a
c
+
b
c
)
(i)
75
(ii)
71
(iii)
73
(iv)
74
(v)
77
Question
8
8.
The expanded form of
(
3
x
−
3
)
(
3
x
−
9
)
is
(i)
(
10
x
2
−
36
x
+
27
)
(ii)
(
9
x
2
−
36
x
+
27
)
(iii)
(
8
x
2
−
36
x
+
27
)
(iv)
(
7
x
2
−
36
x
+
27
)
(v)
(
12
x
2
−
36
x
+
27
)
Question
9
9.
Find the value of
2.4
3
+
1
3
−
3.4
3
(i)
110.592
(ii)
-110.592
(iii)
8
(iv)
-8
(v)
-24.48
Question
10
10.
The expanded form of
(
x
−
5
)
(
x
+
3
)
(
x
−
4
)
(
x
+
7
)
is
(i)
(
x
4
+
x
3
−
49
x
2
+
11
x
+
420
)
(ii)
(
2
x
4
+
x
3
−
49
x
2
+
11
x
+
420
)
(iii)
(
4
x
4
+
x
3
−
49
x
2
+
11
x
+
420
)
(iv)
(
−
x
4
+
x
3
−
49
x
2
+
11
x
+
420
)
(v)
(
x
3
−
49
x
2
+
11
x
+
420
)
Question
11
11.
If
(
x
+
1
x
)
=
2
,
find the value of
(
x
4
+
1
x
4
)
(i)
5
(ii)
2
(iii)
-1
(iv)
3
(v)
1
Question
12
12.
(
5
a
+
4
b
)
(
5
a
−
4
b
)
(i)
(
25
a
2
−
16
b
2
)
(ii)
(
25
a
2
−
19
b
2
)
(iii)
(
26
a
2
−
16
b
2
)
(iv)
(
24
a
2
−
16
b
2
)
(v)
(
25
a
2
−
13
b
2
)
Question
13
13.
Evaluate :
985
2
−
15
2
(i)
97000
(ii)
970985
(iii)
970000
(iv)
9700000
(v)
970015
Question
14
14.
Evaluate
(
n
2
+
o
2
)
(
n
4
−
n
2
o
2
+
o
4
)
=
(i)
n
6
+
o
6
(ii)
n
6
−
2
o
2
n
4
+
2
o
4
n
2
−
o
6
(iii)
n
6
+
2
o
2
n
4
+
2
o
4
n
2
+
o
6
(iv)
n
6
−
o
6
(v)
0
Question
15
15.
If
(
2
x
+
1
2
x
)
=
4
,
find the value of
(
4
x
2
+
1
4
x
2
)
(i)
13
(ii)
11
(iii)
16
(iv)
14
(v)
15
Question
16
16.
If
(
256
a
4
+
256
b
4
)
=
86272
,
a
b
=
12
, find
(
4
a
+
4
b
)
(i)
28
(ii)
26
(iii)
27
(iv)
30
(v)
29
Question
17
17.
The value of
299
1
3
✕
299
1
3
is
(i)
89600
4
9
(ii)
89600
4
11
(iii)
89600
2
3
(iv)
89600
2
9
(v)
89600
4
7
Question
18
18.
If
(
x
+
1
x
)
=
5
,
find the value of
(
x
3
+
1
x
3
)
(i)
109
(ii)
111
(iii)
112
(iv)
108
(v)
110
Question
19
19.
The value of
294
✕
298
is
(i)
87609
(ii)
87612
(iii)
87613
(iv)
87611
(v)
87614
Question
20
20.
The value of
30
1
4
✕
29
1
2
is
(i)
892
3
10
(ii)
892
3
8
(iii)
892
1
2
(iv)
892
5
8
(v)
892
1
8
Question
21
21.
(
a
+
b
)
3
(i)
(
a
3
+
5
a
2
b
+
3
a
b
2
+
b
3
)
(ii)
(
a
3
+
3
a
2
b
+
3
a
b
2
+
b
3
)
(iii)
(
a
3
+
a
2
b
+
3
a
b
2
+
b
3
)
(iv)
(
2
a
3
+
3
a
2
b
+
3
a
b
2
+
b
3
)
(v)
(
3
a
2
b
+
3
a
b
2
+
b
3
)
Question
22
22.
If
(
a
+
b
)
=
7
,
a
b
=
12
, find
(
a
4
+
b
4
)
(i)
340
(ii)
338
(iii)
336
(iv)
335
(v)
337
Question
23
23.
(
4
a
−
b
)
3
(i)
(
63
a
3
−
48
a
2
b
+
12
a
b
2
−
b
3
)
(ii)
(
64
a
3
−
50
a
2
b
+
12
a
b
2
−
b
3
)
(iii)
(
65
a
3
−
48
a
2
b
+
12
a
b
2
−
b
3
)
(iv)
(
64
a
3
−
46
a
2
b
+
12
a
b
2
−
b
3
)
(v)
(
64
a
3
−
48
a
2
b
+
12
a
b
2
−
b
3
)
Question
24
24.
If
(
16
a
2
+
4
b
2
)
=
1060
,
a
b
=
24
, find
(
4
a
+
2
b
)
(i)
38
(ii)
37
(iii)
40
(iv)
35
(v)
39
Question
25
25.
If
(
5
a
+
5
b
)
=
50
,
a
b
=
24
, find
(
125
a
3
+
125
b
3
)
(i)
35000
(ii)
35001
(iii)
34998
(iv)
35003
(v)
34999
Assignment Key
1) (iii)
2) (v)
3) (v)
4) (iii)
5) (iv)
6) (ii)
7) (iv)
8) (ii)
9) (v)
10) (i)
11) (ii)
12) (i)
13) (iii)
14) (i)
15) (iv)
16) (i)
17) (i)
18) (v)
19) (ii)
20) (ii)
21) (ii)
22) (v)
23) (v)
24) (i)
25) (i)
