EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Expansions
Grade : ICSE Grade IX
License : Non Commercial Use
Question
1
1.
If
(
a
−
b
)
✕
A =
(
a
2
−
2
a
b
+
b
2
)
,
then A =
(i)
(
2
a
−
b
)
(ii)
(
a
+
b
)
(iii)
(
−
b
)
(iv)
(
a
−
b
)
(v)
(
a
−
3
b
)
Question
2
2.
(
−
5
a
+
3
b
)
(
−
5
a
−
3
b
)
(i)
(
25
a
2
−
12
b
2
)
(ii)
(
25
a
2
−
9
b
2
)
(iii)
(
24
a
2
−
9
b
2
)
(iv)
(
25
a
2
−
6
b
2
)
(v)
(
26
a
2
−
9
b
2
)
Question
3
3.
If
(
a
+
b
+
c
)
=
12
,
(
a
b
+
a
c
+
b
c
)
=
45
, find
(
a
2
+
b
2
+
c
2
)
(i)
53
(ii)
56
(iii)
51
(iv)
55
(v)
54
Question
4
4.
If
(
a
2
−
b
2
)
=
7
,
a
b
=
12
, find
(
a
−
b
)
(i)
0
(ii)
3
(iii)
-1
(iv)
2
(v)
1
Question
5
5.
The value of
53
✕
47
is
(i)
2494
(ii)
2490
(iii)
2491
(iv)
2492
(v)
2489
Question
6
6.
If
(
4
x
−
1
3
x
)
=
2
,
find the value of
(
16
x
2
+
1
9
x
2
)
(i)
20
3
(ii)
32
5
(iii)
6
(iv)
8
(v)
22
3
Question
7
7.
The value of
48
1
2
✕
49
1
3
is
(i)
2394
(ii)
2392
(iii)
2393
1
3
(iv)
2392
2
5
(v)
2392
2
3
Question
8
8.
If
(
x
+
1
x
)
=
7
,
find the value of
(
x
2
+
1
x
2
)
(i)
46
(ii)
50
(iii)
47
(iv)
48
(v)
44
Question
9
9.
If
(
3
x
−
1
3
x
)
=
2
,
find the value of
(
27
x
3
−
1
27
x
3
)
(i)
13
(ii)
17
(iii)
14
(iv)
12
(v)
15
Question
10
10.
If
(
a
+
b
)
=
10
,
a
b
=
24
, find
(
a
2
+
b
2
)
(i)
53
(ii)
51
(iii)
50
(iv)
55
(v)
52
Question
11
11.
(
a
−
b
)
2
(i)
(
2
a
2
−
2
a
b
+
b
2
)
(ii)
(
a
2
+
b
2
)
(iii)
(
−
2
a
b
+
b
2
)
(iv)
(
a
2
−
4
a
b
+
b
2
)
(v)
(
a
2
−
2
a
b
+
b
2
)
Question
12
12.
(
a
−
b
)
2
(i)
(
a
2
−
2
a
b
+
b
2
)
(ii)
(
−
2
a
b
+
b
2
)
(iii)
(
a
2
−
4
a
b
+
b
2
)
(iv)
(
a
2
+
b
2
)
(v)
(
2
a
2
−
2
a
b
+
b
2
)
Question
13
13.
If
(
49
a
2
+
36
b
2
)
=
2340
,
a
b
=
24
, find
(
7
a
+
6
b
)
(i)
69
(ii)
66
(iii)
65
(iv)
63
(v)
67
Question
14
14.
If
(
−
a
−
5
b
+
5
c
)
✕
A =
(
a
2
+
10
a
b
−
10
a
c
+
25
b
2
−
50
b
c
+
25
c
2
)
,
then A =
(i)
(
−
a
−
5
b
+
5
c
)
(ii)
(
−
2
a
−
5
b
+
5
c
)
(iii)
(
−
a
−
7
b
+
5
c
)
(iv)
(
−
5
b
+
5
c
)
(v)
(
−
a
−
2
b
+
5
c
)
Question
15
15.
(
a
+
b
+
c
)
2
(i)
(
2
a
b
+
2
a
c
+
b
2
+
2
b
c
+
c
2
)
(ii)
(
a
2
+
5
a
b
+
2
a
c
+
b
2
+
2
b
c
+
c
2
)
(iii)
(
a
2
−
a
b
+
2
a
c
+
b
2
+
2
b
c
+
c
2
)
(iv)
(
a
2
+
2
a
b
+
2
a
c
+
b
2
+
2
b
c
+
c
2
)
(v)
(
2
a
2
+
2
a
b
+
2
a
c
+
b
2
+
2
b
c
+
c
2
)
Question
16
16.
If
(
x
+
1
x
)
=
7
,
find the value of
(
x
3
+
1
x
3
)
(i)
320
(ii)
323
(iii)
321
(iv)
324
(v)
322
Question
17
17.
The value of
103
✕
107
is
(i)
11024
(ii)
11020
(iii)
11021
(iv)
11019
(v)
11022
Question
18
18.
(
a
+
b
)
(
a
2
−
a
b
+
b
2
)
(i)
(
2
a
3
+
b
3
)
(ii)
b
3
(iii)
(
a
3
+
4
b
3
)
(iv)
(
a
3
−
b
3
)
(v)
(
a
3
+
b
3
)
Question
19
19.
If
(
x
2
+
1
x
2
)
=
62
,
find the value of
(
x
+
1
x
)
(i)
7
(ii)
9
(iii)
8
(iv)
10
(v)
5
Question
20
20.
(
−
3
a
−
2
3
b
)
2
(i)
(
10
a
2
+
4
a
b
+
4
9
b
2
)
(ii)
(
8
a
2
+
4
a
b
+
4
9
b
2
)
(iii)
(
9
a
2
+
4
a
b
+
4
9
b
2
)
(iv)
(
9
a
2
+
6
a
b
+
4
9
b
2
)
(v)
(
9
a
2
+
a
b
+
4
9
b
2
)
Question
21
21.
(
a
−
b
)
(
a
2
+
a
b
+
b
2
)
(i)
(
−
b
3
)
(ii)
(
a
3
+
2
b
3
)
(iii)
(
a
3
−
4
b
3
)
(iv)
(
a
3
−
b
3
)
(v)
(
2
a
3
−
b
3
)
Question
22
22.
(
−
4
a
−
5
b
−
3
c
)
(
16
a
2
−
20
a
b
−
12
a
c
+
25
b
2
−
15
b
c
+
9
c
2
)
(i)
(
−
64
a
3
+
183
a
b
c
−
125
b
3
−
27
c
3
)
(ii)
(
−
64
a
3
+
180
a
b
c
−
125
b
3
−
27
c
3
)
(iii)
(
−
64
a
3
+
177
a
b
c
−
125
b
3
−
27
c
3
)
(iv)
(
−
65
a
3
+
180
a
b
c
−
125
b
3
−
27
c
3
)
(v)
(
−
63
a
3
+
180
a
b
c
−
125
b
3
−
27
c
3
)
Question
23
23.
If
(
x
+
1
x
)
=
4
,
find the value of
(
x
4
+
1
x
4
)
(i)
195
(ii)
194
(iii)
196
(iv)
192
(v)
193
Question
24
24.
If
(
a
−
b
)
=
3
,
a
b
=
10
, find
(
a
3
−
b
3
)
(i)
114
(ii)
118
(iii)
116
(iv)
119
(v)
117
Question
25
25.
(
a
+
b
)
2
(i)
(
a
2
+
b
2
)
(ii)
(
a
2
+
2
a
b
+
b
2
)
(iii)
(
a
2
+
4
a
b
+
b
2
)
(iv)
(
2
a
2
+
2
a
b
+
b
2
)
(v)
(
2
a
b
+
b
2
)
Assignment Key
1) (iv)
2) (ii)
3) (v)
4) (v)
5) (iii)
6) (i)
7) (v)
8) (iii)
9) (iii)
10) (v)
11) (v)
12) (i)
13) (ii)
14) (i)
15) (iv)
16) (v)
17) (iii)
18) (v)
19) (iii)
20) (iii)
21) (iv)
22) (ii)
23) (ii)
24) (v)
25) (ii)
