EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Expansions
Grade : ICSE Grade IX
License : Non Commercial Use
Question
1
1.
If
(
2
a
+
3
b
)
=
24
,
a
b
=
24
, find
(
16
a
4
+
81
b
4
)
(i)
41474
(ii)
41470
(iii)
41471
(iv)
41473
(v)
41472
Question
2
2.
If
(
7
a
+
5
b
)
=
45
,
a
b
=
10
, find
(
49
a
2
+
25
b
2
)
(i)
1328
(ii)
1323
(iii)
1326
(iv)
1325
(v)
1324
Question
3
3.
(
a
−
b
)
2
(i)
(
a
2
−
2
a
b
+
b
2
)
(ii)
(
a
2
−
4
a
b
+
b
2
)
(iii)
(
a
2
+
a
b
+
b
2
)
(iv)
(
−
2
a
b
+
b
2
)
(v)
(
2
a
2
−
2
a
b
+
b
2
)
Question
4
4.
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
−
5
b
)
(v)
(
−
5
a
−
b
)
Question
5
5.
If
(
5
x
+
1
2
x
)
=
5
,
find the value of
(
25
x
2
+
1
4
x
2
)
(i)
19
(ii)
21
(iii)
22
(iv)
18
(v)
20
Question
6
6.
If
(
−
4
a
+
5
b
)
✕
A =
(
16
a
2
−
25
b
2
)
,
then A =
(i)
(
−
4
a
−
5
b
)
(ii)
(
−
5
a
−
5
b
)
(iii)
(
−
4
a
−
3
b
)
(iv)
(
−
4
a
−
8
b
)
(v)
(
−
3
a
−
5
b
)
Question
7
7.
The value of
21
1
3
✕
18
2
3
is
(i)
398
2
7
(ii)
398
4
9
(iii)
398
(iv)
398
2
9
(v)
398
2
11
Question
8
8.
If
(
a
−
b
)
=
2
,
a
b
=
8
, find
(
a
4
−
b
4
)
(i)
238
(ii)
243
(iii)
239
(iv)
241
(v)
240
Question
9
9.
If
(
16
a
2
+
25
b
2
)
=
800
,
a
b
=
20
, find
(
4
a
+
5
b
)
(i)
40
(ii)
41
(iii)
42
(iv)
39
(v)
38
Question
10
10.
If
(
a
−
b
)
=
1
,
a
b
=
30
, find
(
a
3
−
b
3
)
(i)
91
(ii)
92
(iii)
89
(iv)
93
(v)
90
Question
11
11.
If
(
3
x
−
1
3
x
)
=
5
,
find the value of
(
9
x
2
+
1
9
x
2
)
(i)
30
(ii)
28
(iii)
26
(iv)
25
(v)
27
Question
12
12.
If
(
a
−
b
)
=
1
,
a
b
=
20
, find
(
a
2
−
b
2
)
(i)
10
(ii)
12
(iii)
8
(iv)
9
(v)
6
Question
13
13.
(
4
a
−
2
b
+
5
c
)
(
16
a
2
+
8
a
b
−
20
a
c
+
4
b
2
+
10
b
c
+
25
c
2
)
(i)
(
64
a
3
+
120
a
b
c
−
8
b
3
+
125
c
3
)
(ii)
(
63
a
3
+
120
a
b
c
−
8
b
3
+
125
c
3
)
(iii)
(
65
a
3
+
120
a
b
c
−
8
b
3
+
125
c
3
)
(iv)
(
64
a
3
+
123
a
b
c
−
8
b
3
+
125
c
3
)
(v)
(
64
a
3
+
117
a
b
c
−
8
b
3
+
125
c
3
)
Question
14
14.
The value of
607
✕
595
is
(i)
361164
(ii)
361167
(iii)
361166
(iv)
361163
(v)
361165
Question
15
15.
If
(
16
a
4
+
16
b
4
)
=
14096
,
a
b
=
20
, find
(
2
a
+
2
b
)
(i)
18
(ii)
21
(iii)
17
(iv)
15
(v)
19
Question
16
16.
The value of
68
1
2
✕
69
1
2
is
(i)
4760
3
4
(ii)
4761
1
2
(iii)
4760
1
4
(iv)
4760
1
2
(v)
4761
1
4
Question
17
17.
The value of
792
✕
792
is
(i)
627261
(ii)
627264
(iii)
627266
(iv)
627263
(v)
627265
Question
18
18.
(
−
2
3
a
+
3
b
+
3
c
)
2
(i)
(
4
9
a
2
−
7
a
b
−
4
a
c
+
9
b
2
+
18
b
c
+
9
c
2
)
(ii)
(
4
11
a
2
−
4
a
b
−
4
a
c
+
9
b
2
+
18
b
c
+
9
c
2
)
(iii)
(
4
9
a
2
−
2
a
b
−
4
a
c
+
9
b
2
+
18
b
c
+
9
c
2
)
(iv)
(
4
9
a
2
−
4
a
b
−
4
a
c
+
9
b
2
+
18
b
c
+
9
c
2
)
(v)
(
4
7
a
2
−
4
a
b
−
4
a
c
+
9
b
2
+
18
b
c
+
9
c
2
)
Question
19
19.
If
(
x
4
+
1
x
4
)
=
119
,
find the value of
(
x
−
1
x
)
(i)
4
(ii)
0
(iii)
3
(iv)
2
(v)
6
Question
20
20.
If
(
x
−
1
x
)
=
8
,
find the value of
(
x
2
+
1
x
2
)
(i)
63
(ii)
69
(iii)
65
(iv)
67
(v)
66
Question
21
21.
(
3
a
−
5
b
)
2
(i)
(
10
a
2
−
30
a
b
+
25
b
2
)
(ii)
(
9
a
2
−
28
a
b
+
25
b
2
)
(iii)
(
8
a
2
−
30
a
b
+
25
b
2
)
(iv)
(
9
a
2
−
32
a
b
+
25
b
2
)
(v)
(
9
a
2
−
30
a
b
+
25
b
2
)
Question
22
22.
(
−
3
2
a
+
3
b
)
2
(i)
(
5
2
a
2
−
9
a
b
+
9
b
2
)
(ii)
(
9
4
a
2
−
11
a
b
+
9
b
2
)
(iii)
(
9
4
a
2
−
9
a
b
+
9
b
2
)
(iv)
(
13
6
a
2
−
9
a
b
+
9
b
2
)
(v)
(
9
4
a
2
−
7
a
b
+
9
b
2
)
Question
23
23.
If
(
x
−
1
x
)
=
9
,
find the value of
(
x
4
+
1
x
4
)
(i)
6888
(ii)
6886
(iii)
6885
(iv)
6887
(v)
6889
Question
24
24.
The value of
506
✕
505
is
(i)
255530
(ii)
255528
(iii)
255529
(iv)
255531
(v)
255532
Question
25
25.
(
−
3
a
+
4
b
)
(
9
a
2
+
12
a
b
+
16
b
2
)
(i)
(
−
27
a
3
+
64
b
3
)
(ii)
(
−
27
a
3
+
62
b
3
)
(iii)
(
−
28
a
3
+
64
b
3
)
(iv)
(
−
26
a
3
+
64
b
3
)
(v)
(
−
27
a
3
+
67
b
3
)
Assignment Key
1) (v)
2) (iv)
3) (i)
4) (iii)
5) (v)
6) (i)
7) (iv)
8) (v)
9) (i)
10) (i)
11) (v)
12) (iv)
13) (i)
14) (v)
15) (i)
16) (i)
17) (ii)
18) (iv)
19) (iii)
20) (v)
21) (v)
22) (iii)
23) (iv)
24) (i)
25) (i)
