EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Expansions
Grade : ICSE Grade IX
License : Non Commercial Use
Question
1
1.
If
(
a
+
b
)
=
5
,
a
b
=
6
, find
(
a
3
+
b
3
)
(i)
38
(ii)
34
(iii)
32
(iv)
36
(v)
35
Question
2
2.
If
(
x
−
1
x
)
=
9
,
find the value of
(
x
3
−
1
x
3
)
(i)
758
(ii)
753
(iii)
757
(iv)
755
(v)
756
Question
3
3.
If
(
a
2
−
b
2
)
=
27
,
a
b
=
18
, find
(
a
−
b
)
(i)
6
(ii)
4
(iii)
3
(iv)
2
(v)
0
Question
4
4.
(
a
+
b
)
(
a
−
b
)
(i)
(
a
2
+
b
2
)
(ii)
(
a
2
−
b
2
)
(iii)
(
−
b
2
)
(iv)
(
2
a
2
−
b
2
)
(v)
(
a
2
−
4
b
2
)
Question
5
5.
(
−
2
3
a
−
2
3
b
)
(
−
2
3
a
+
2
3
b
)
(i)
(
4
11
a
2
−
4
9
b
2
)
(ii)
(
4
7
a
2
−
4
9
b
2
)
(iii)
(
4
9
a
2
−
2
9
b
2
)
(iv)
(
4
9
a
2
−
4
9
b
2
)
(v)
(
4
9
a
2
−
2
3
b
2
)
Question
6
6.
(
3
2
a
−
3
2
b
)
(
9
4
a
2
+
9
4
a
b
+
9
4
b
2
)
(i)
(
7
2
a
3
−
27
8
b
3
)
(ii)
(
27
8
a
3
−
29
8
b
3
)
(iii)
(
27
8
a
3
−
25
8
b
3
)
(iv)
(
33
10
a
3
−
27
8
b
3
)
(v)
(
27
8
a
3
−
27
8
b
3
)
Question
7
7.
(
3
a
−
3
2
b
)
(
9
a
2
+
9
2
a
b
+
9
4
b
2
)
(i)
(
27
a
3
−
25
8
b
3
)
(ii)
(
26
a
3
−
27
8
b
3
)
(iii)
(
27
a
3
−
29
8
b
3
)
(iv)
(
27
a
3
−
27
8
b
3
)
(v)
(
28
a
3
−
27
8
b
3
)
Question
8
8.
The value of
203
✕
197
is
(i)
39989
(ii)
39992
(iii)
39991
(iv)
39990
(v)
39993
Question
9
9.
If
(
x
+
1
x
)
=
7
,
find the value of
(
x
2
+
1
x
2
)
(i)
47
(ii)
45
(iii)
48
(iv)
46
(v)
50
Question
10
10.
If
(
x
+
1
x
)
=
6
,
find the value of
(
x
3
+
1
x
3
)
(i)
200
(ii)
198
(iii)
197
(iv)
196
(v)
199
Question
11
11.
(
−
2
a
+
3
2
b
)
2
(i)
(
3
a
2
−
6
a
b
+
9
4
b
2
)
(ii)
(
4
a
2
−
9
a
b
+
9
4
b
2
)
(iii)
(
4
a
2
−
6
a
b
+
9
4
b
2
)
(iv)
(
4
a
2
−
4
a
b
+
9
4
b
2
)
(v)
(
5
a
2
−
6
a
b
+
9
4
b
2
)
Question
12
12.
(
−
a
−
3
b
)
(
−
a
+
3
b
)
(i)
(
−
9
b
2
)
(ii)
(
a
2
−
11
b
2
)
(iii)
(
a
2
−
6
b
2
)
(iv)
(
2
a
2
−
9
b
2
)
(v)
(
a
2
−
9
b
2
)
Question
13
13.
Expand
(
x
+
1
x
)
2
(i)
x
2
+
3
+
1
x
2
(ii)
−
2
x
2
+
2
+
1
x
2
(iii)
x
2
+
2
+
1
x
3
(iv)
3
x
2
+
2
+
1
x
2
(v)
x
2
+
2
+
1
x
2
Question
14
14.
The value of
10
1
3
✕
10
1
3
is
(i)
106
7
11
(ii)
106
5
9
(iii)
107
(iv)
106
7
9
Question
15
15.
(
a
+
b
)
2
(i)
(
2
a
2
+
2
a
b
+
b
2
)
(ii)
(
a
2
+
2
a
b
+
b
2
)
(iii)
(
a
2
−
a
b
+
b
2
)
(iv)
(
2
a
b
+
b
2
)
(v)
(
a
2
+
4
a
b
+
b
2
)
Question
16
16.
If
(
2
x
+
1
2
x
)
=
4
,
find the value of
(
4
x
2
+
1
4
x
2
)
(i)
13
(ii)
15
(iii)
12
(iv)
16
(v)
14
Question
17
17.
If
(
−
a
−
4
b
)
✕
A =
(
a
2
+
8
a
b
+
16
b
2
)
,
then A =
(i)
(
−
2
a
−
4
b
)
(ii)
(
−
a
−
2
b
)
(iii)
(
−
4
b
)
(iv)
(
−
a
−
6
b
)
(v)
(
−
a
−
4
b
)
Question
18
18.
(
5
a
+
4
b
)
(
25
a
2
−
20
a
b
+
16
b
2
)
(i)
(
126
a
3
+
64
b
3
)
(ii)
(
125
a
3
+
61
b
3
)
(iii)
(
125
a
3
+
64
b
3
)
(iv)
(
124
a
3
+
64
b
3
)
(v)
(
125
a
3
+
66
b
3
)
Question
19
19.
Expand
(
x
−
1
x
)
2
(i)
3
x
2
−
2
+
1
x
2
(ii)
−
2
x
2
−
2
+
1
x
2
(iii)
x
−
2
+
1
x
2
(iv)
x
2
−
1
+
1
x
2
(v)
x
2
−
2
+
1
x
2
Question
20
20.
The value of
55
✕
52
is
(i)
2858
(ii)
2862
(iii)
2860
(iv)
2861
(v)
2859
Question
21
21.
(
a
−
b
)
2
(i)
(
−
2
a
b
+
b
2
)
(ii)
(
a
2
+
a
b
+
b
2
)
(iii)
(
a
2
−
5
a
b
+
b
2
)
(iv)
(
a
2
−
2
a
b
+
b
2
)
(v)
(
2
a
2
−
2
a
b
+
b
2
)
Question
22
22.
If
(
a
−
b
)
=
2
,
a
b
=
8
, find
(
a
3
−
b
3
)
(i)
58
(ii)
55
(iii)
57
(iv)
56
(v)
53
Question
23
23.
Expand
(
x
−
1
)
(
x
+
1
)
(
x
2
+
1
)
(i)
x
5
+
x
4
+
x
3
+
x
2
(ii)
−
2
x
3
−
2
x
(iii)
4
x
5
+
7
x
3
+
4
x
4
+
7
x
2
+
3
x
+
3
(iv)
x
4
−
1
Question
24
24.
The value of
407
✕
407
is
(i)
165652
(ii)
165647
(iii)
165648
(iv)
165649
(v)
165650
Question
25
25.
The value of
45
✕
45
is
(i)
2028
(ii)
2022
(iii)
2024
(iv)
2026
(v)
2025
Assignment Key
1) (v)
2) (v)
3) (iii)
4) (ii)
5) (iv)
6) (v)
7) (iv)
8) (iii)
9) (i)
10) (ii)
11) (iii)
12) (v)
13) (v)
14) (iv)
15) (ii)
16) (v)
17) (v)
18) (iii)
19) (v)
20) (iii)
21) (iv)
22) (iv)
23) (iv)
24) (iv)
25) (v)
