EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Expansions
Grade : ICSE Grade IX
License : Non Commercial Use
Question
1
1.
If
(
a
−
b
)
=
3
,
a
b
=
10
, find
(
a
3
−
b
3
)
(i)
117
(ii)
119
(iii)
115
(iv)
118
(v)
116
Question
2
2.
If
(
−
a
+
4
b
)
✕
A =
(
a
2
−
8
a
b
+
16
b
2
)
,
then A =
(i)
(
−
a
+
4
b
)
(ii)
(
−
a
+
6
b
)
(iii)
(
−
a
+
b
)
(iv)
4
b
(v)
(
−
2
a
+
4
b
)
Question
3
3.
Expand
(
x
−
1
)
(
x
+
1
)
(
x
2
+
1
)
(i)
x
4
−
1
(ii)
4
x
5
+
8
x
3
+
4
x
4
+
8
x
2
+
4
x
+
4
(iii)
−
2
x
3
−
2
x
(iv)
x
5
+
x
4
+
x
3
+
x
2
Question
4
4.
The value of
86
✕
81
is
(i)
6969
(ii)
6963
(iii)
6966
(iv)
6967
(v)
6965
Question
5
5.
If
(
3
x
−
1
3
x
)
=
2
,
find the value of
(
9
x
2
+
1
9
x
2
)
(i)
7
(ii)
6
(iii)
5
(iv)
3
(v)
8
Question
6
6.
If
(
x
+
1
x
)
=
9
,
find the value of
(
x
4
+
1
x
4
)
(i)
6240
(ii)
6237
(iii)
6239
(iv)
6238
(v)
6241
Question
7
7.
The value of
503
✕
493
is
(i)
247978
(ii)
247982
(iii)
247979
(iv)
247980
(v)
247976
Question
8
8.
If
(
x
+
1
x
)
=
2
,
find the value of
(
x
3
+
1
x
3
)
(i)
3
(ii)
2
(iii)
1
(iv)
-1
(v)
4
Question
9
9.
The value of
703
✕
703
is
(i)
494209
(ii)
494212
(iii)
494208
(iv)
494207
(v)
494210
Question
10
10.
The value of
600
1
3
✕
599
2
3
is
(i)
359999
8
11
(ii)
360000
1
7
(iii)
359999
2
3
(iv)
359999
8
9
(v)
360000
1
9
Question
11
11.
If
(
2
a
+
4
b
)
=
20
,
a
b
=
12
, find
(
16
a
4
+
256
b
4
)
(i)
24833
(ii)
24829
(iii)
24832
(iv)
24831
(v)
24835
Question
12
12.
If
(
2
a
+
4
b
)
=
14
,
a
b
=
6
, find
(
8
a
3
+
64
b
3
)
(i)
729
(ii)
731
(iii)
728
(iv)
726
(v)
727
Question
13
13.
The value of
19
2
3
✕
19
2
3
is
(i)
386
7
9
(ii)
386
7
11
(iii)
386
5
9
(iv)
387
Question
14
14.
The value of
600
1
3
✕
599
1
4
is
(i)
359749
3
4
(ii)
359750
1
4
(iii)
359749
1
2
(iv)
359750
1
2
(v)
359749
1
4
Question
15
15.
(
a
+
b
+
c
)
(
a
2
−
a
b
−
a
c
+
b
2
−
b
c
+
c
2
)
(i)
(
−
3
a
b
c
+
b
3
+
c
3
)
(ii)
(
a
3
−
3
a
b
c
+
b
3
+
c
3
)
(iii)
(
a
3
−
a
b
c
+
b
3
+
c
3
)
(iv)
(
a
3
−
6
a
b
c
+
b
3
+
c
3
)
(v)
(
2
a
3
−
3
a
b
c
+
b
3
+
c
3
)
Question
16
16.
(
3
a
−
2
b
)
(
3
a
+
2
b
)
(i)
(
10
a
2
−
4
b
2
)
(ii)
(
9
a
2
−
2
b
2
)
(iii)
(
9
a
2
−
4
b
2
)
(iv)
(
9
a
2
−
6
b
2
)
(v)
(
8
a
2
−
4
b
2
)
Question
17
17.
The value of
496
✕
496
is
(i)
246015
(ii)
246016
(iii)
246017
(iv)
246018
(v)
246014
Question
18
18.
(
5
a
−
b
+
4
c
)
2
(i)
(
25
a
2
−
8
a
b
+
40
a
c
+
b
2
−
8
b
c
+
16
c
2
)
(ii)
(
25
a
2
−
13
a
b
+
40
a
c
+
b
2
−
8
b
c
+
16
c
2
)
(iii)
(
26
a
2
−
10
a
b
+
40
a
c
+
b
2
−
8
b
c
+
16
c
2
)
(iv)
(
24
a
2
−
10
a
b
+
40
a
c
+
b
2
−
8
b
c
+
16
c
2
)
(v)
(
25
a
2
−
10
a
b
+
40
a
c
+
b
2
−
8
b
c
+
16
c
2
)
Question
19
19.
If
(
x
−
1
x
)
=
2
,
find the value of
(
x
4
+
1
x
4
)
(i)
35
(ii)
32
(iii)
34
(iv)
37
(v)
33
Question
20
20.
If
(
−
4
a
+
2
b
−
c
)
✕
A =
(
16
a
2
−
16
a
b
+
8
a
c
+
4
b
2
−
4
b
c
+
c
2
)
,
then A =
(i)
(
−
5
a
+
2
b
−
c
)
(ii)
(
−
4
a
+
2
b
−
c
)
(iii)
(
−
3
a
+
2
b
−
c
)
(iv)
(
−
4
a
−
b
−
c
)
(v)
(
−
4
a
+
5
b
−
c
)
Question
21
21.
(
3
2
a
+
2
b
)
2
(i)
(
13
6
a
2
+
6
a
b
+
4
b
2
)
(ii)
(
9
4
a
2
+
8
a
b
+
4
b
2
)
(iii)
(
9
4
a
2
+
4
a
b
+
4
b
2
)
(iv)
(
5
2
a
2
+
6
a
b
+
4
b
2
)
(v)
(
9
4
a
2
+
6
a
b
+
4
b
2
)
Question
22
22.
If
(
a
+
b
)
=
10
,
a
b
=
21
, find
(
a
4
+
b
4
)
(i)
2485
(ii)
2481
(iii)
2479
(iv)
2483
(v)
2482
Question
23
23.
If
(
x
2
+
1
x
2
)
=
79
,
find the value of
(
x
+
1
x
)
(i)
8
(ii)
11
(iii)
10
(iv)
9
(v)
6
Question
24
24.
If
(
x
−
1
x
)
=
6
,
find the value of
(
x
3
−
1
x
3
)
(i)
231
(ii)
237
(iii)
234
(iv)
235
(v)
233
Question
25
25.
(
5
a
−
b
)
2
(i)
(
26
a
2
−
10
a
b
+
b
2
)
(ii)
(
25
a
2
−
10
a
b
+
b
2
)
(iii)
(
25
a
2
−
7
a
b
+
b
2
)
(iv)
(
25
a
2
−
12
a
b
+
b
2
)
(v)
(
24
a
2
−
10
a
b
+
b
2
)
Assignment Key
1) (i)
2) (i)
3) (i)
4) (iii)
5) (ii)
6) (iii)
7) (iii)
8) (ii)
9) (i)
10) (iv)
11) (iii)
12) (iii)
13) (i)
14) (i)
15) (ii)
16) (iii)
17) (ii)
18) (v)
19) (iii)
20) (ii)
21) (v)
22) (v)
23) (iv)
24) (iii)
25) (ii)
