EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Expansions
Grade : ICSE Grade IX
License : Non Commercial Use
Question
1
1.
The value of
595
✕
595
is
(i)
354026
(ii)
354022
(iii)
354024
(iv)
354028
(v)
354025
Question
2
2.
If
(
a
2
−
b
2
)
=
20
,
a
b
=
24
, find
(
a
−
b
)
(i)
2
(ii)
3
(iii)
4
(iv)
-1
(v)
1
Question
3
3.
If
(
a
+
b
)
=
14
,
a
b
=
48
, find
(
a
3
+
b
3
)
(i)
726
(ii)
728
(iii)
727
(iv)
730
(v)
729
Question
4
4.
If
(
x
+
1
x
)
=
2
,
find the value of
(
x
2
+
1
x
2
)
(i)
4
(ii)
3
(iii)
2
(iv)
0
(v)
1
Question
5
5.
If
(
−
5
a
−
3
b
)
✕
A =
(
25
a
2
+
30
a
b
+
9
b
2
)
,
then A =
(i)
(
−
4
a
−
3
b
)
(ii)
(
−
6
a
−
3
b
)
(iii)
(
−
5
a
−
3
b
)
(iv)
(
−
5
a
−
6
b
)
(v)
(
−
5
a
)
Question
6
6.
If
(
a
−
b
)
=
4
,
a
b
=
12
, find
(
a
2
−
b
2
)
(i)
34
(ii)
31
(iii)
32
(iv)
33
(v)
29
Question
7
7.
If
(
a
+
b
+
c
)
=
17
,
(
a
2
+
b
2
+
c
2
)
=
105
, find
(
a
b
+
a
c
+
b
c
)
(i)
92
(ii)
89
(iii)
91
(iv)
93
(v)
95
Question
8
8.
(
−
3
a
+
b
)
2
(i)
(
8
a
2
−
6
a
b
+
b
2
)
(ii)
(
9
a
2
−
9
a
b
+
b
2
)
(iii)
(
9
a
2
−
6
a
b
+
b
2
)
(iv)
(
9
a
2
−
4
a
b
+
b
2
)
(v)
(
10
a
2
−
6
a
b
+
b
2
)
Question
9
9.
If
(
5
a
+
5
b
)
=
55
,
a
b
=
30
, find
(
125
a
3
+
125
b
3
)
(i)
42626
(ii)
42628
(iii)
42624
(iv)
42625
(v)
42623
Question
10
10.
(
3
2
a
−
3
2
b
)
2
(i)
(
13
6
a
2
−
9
2
a
b
+
9
4
b
2
)
(ii)
(
9
4
a
2
−
9
2
a
b
+
9
4
b
2
)
(iii)
(
9
4
a
2
−
7
2
a
b
+
9
4
b
2
)
(iv)
(
9
4
a
2
−
11
2
a
b
+
9
4
b
2
)
(v)
(
5
2
a
2
−
9
2
a
b
+
9
4
b
2
)
Question
11
11.
If
(
x
−
1
x
)
=
4
,
find the value of
(
x
2
+
1
x
2
)
(i)
17
(ii)
19
(iii)
16
(iv)
21
(v)
18
Question
12
12.
The value of
202
✕
198
is
(i)
39997
(ii)
39995
(iii)
39993
(iv)
39996
(v)
39998
Question
13
13.
Expand
(
x
−
1
)
(
x
+
1
)
(
x
2
+
1
)
(i)
x
5
+
x
4
+
x
3
+
x
2
(ii)
x
4
−
1
(iii)
3
x
5
+
7
x
3
+
3
x
4
+
7
x
2
+
4
x
+
4
(iv)
−
2
x
3
−
2
x
Question
14
14.
If
(
4
a
+
7
b
)
=
34
,
a
b
=
10
, find
(
16
a
2
+
49
b
2
)
(i)
594
(ii)
597
(iii)
598
(iv)
595
(v)
596
Question
15
15.
The value of
401
✕
406
is
(i)
162803
(ii)
162807
(iii)
162805
(iv)
162809
(v)
162806
Question
16
16.
(
−
3
a
−
3
2
b
)
(
9
a
2
−
9
2
a
b
+
9
4
b
2
)
(i)
(
−
27
a
3
−
29
8
b
3
)
(ii)
(
−
27
a
3
−
25
8
b
3
)
(iii)
(
−
27
a
3
−
27
8
b
3
)
(iv)
(
−
26
a
3
−
27
8
b
3
)
(v)
(
−
28
a
3
−
27
8
b
3
)
Question
17
17.
If
(
x
2
+
1
x
2
)
=
27
,
find the value of
(
x
−
1
x
)
(i)
6
(ii)
8
(iii)
5
(iv)
4
(v)
2
Question
18
18.
If
(
x
+
1
x
)
=
7
,
find the value of
(
x
4
+
1
x
4
)
(i)
2206
(ii)
2204
(iii)
2208
(iv)
2207
(v)
2209
Question
19
19.
The value of
401
✕
401
is
(i)
160803
(ii)
160800
(iii)
160802
(iv)
160801
(v)
160799
Question
20
20.
If
(
a
−
b
)
=
2
,
a
b
=
24
, find
(
a
3
−
b
3
)
(i)
151
(ii)
153
(iii)
152
(iv)
155
(v)
149
Question
21
21.
The value of
60
1
3
✕
59
2
3
is
(i)
3599
2
3
(ii)
3599
8
9
(iii)
3599
8
11
(iv)
3600
1
9
(v)
3600
1
7
Question
22
22.
The value of
700
1
2
✕
700
1
2
is
(i)
490699
3
4
(ii)
490700
1
6
(iii)
490700
3
4
(iv)
490700
1
4
(v)
490700
1
2
Question
23
23.
(
3
a
−
2
b
)
(
3
a
+
2
b
)
(i)
(
10
a
2
−
4
b
2
)
(ii)
(
9
a
2
−
4
b
2
)
(iii)
(
8
a
2
−
4
b
2
)
(iv)
(
9
a
2
−
b
2
)
(v)
(
9
a
2
−
7
b
2
)
Question
24
24.
The value of
59
1
4
✕
59
1
4
is
(i)
3510
9
14
(ii)
3510
7
16
(iii)
3510
11
16
(iv)
3510
1
2
(v)
3510
9
16
Question
25
25.
(
a
+
b
+
c
)
(
a
2
−
a
b
−
a
c
+
b
2
−
b
c
+
c
2
)
(i)
(
a
3
−
3
a
b
c
+
b
3
+
c
3
)
(ii)
(
−
3
a
b
c
+
b
3
+
c
3
)
(iii)
(
2
a
3
−
3
a
b
c
+
b
3
+
c
3
)
(iv)
(
a
3
−
a
b
c
+
b
3
+
c
3
)
(v)
(
a
3
−
5
a
b
c
+
b
3
+
c
3
)
Assignment Key
1) (v)
2) (i)
3) (ii)
4) (iii)
5) (iii)
6) (iii)
7) (i)
8) (iii)
9) (iv)
10) (ii)
11) (v)
12) (iv)
13) (ii)
14) (v)
15) (v)
16) (iii)
17) (iii)
18) (iv)
19) (iv)
20) (iii)
21) (ii)
22) (iv)
23) (ii)
24) (v)
25) (i)
