EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Expansions
Grade : ICSE Grade IX
License : Non Commercial Use
Question
1
1.
(
−
2
a
+
2
b
)
(
4
a
2
+
4
a
b
+
4
b
2
)
(i)
(
−
9
a
3
+
8
b
3
)
(ii)
(
−
8
a
3
+
5
b
3
)
(iii)
(
−
8
a
3
+
8
b
3
)
(iv)
(
−
7
a
3
+
8
b
3
)
(v)
(
−
8
a
3
+
10
b
3
)
Question
2
2.
If
(
x
−
1
x
)
=
5
,
find the value of
(
x
2
+
1
x
2
)
(i)
30
(ii)
28
(iii)
26
(iv)
24
(v)
27
Question
3
3.
If
(
x
4
+
1
x
4
)
=
322
,
find the value of
(
x
−
1
x
)
(i)
4
(ii)
3
(iii)
5
(iv)
6
(v)
2
Question
4
4.
The value of
891
✕
891
is
(i)
793882
(ii)
793881
(iii)
793880
(iv)
793883
(v)
793879
Question
5
5.
If
(
x
+
1
x
)
=
6
,
find the value of
(
x
4
+
1
x
4
)
(i)
1153
(ii)
1151
(iii)
1156
(iv)
1155
(v)
1154
Question
6
6.
The value of
800
1
4
✕
800
1
4
is
(i)
640400
1
14
(ii)
640400
3
16
(iii)
640400
1
18
(iv)
640400
1
16
(v)
640399
15
16
Question
7
7.
(
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)
(
a
3
−
5
a
b
c
+
b
3
+
c
3
)
(iii)
(
a
3
+
b
3
+
c
3
)
(iv)
(
2
a
3
−
3
a
b
c
+
b
3
+
c
3
)
(v)
(
−
3
a
b
c
+
b
3
+
c
3
)
Question
8
8.
If
(
a
+
b
+
c
)
=
15
,
(
a
b
+
a
c
+
b
c
)
=
62
, find
(
a
2
+
b
2
+
c
2
)
(i)
100
(ii)
103
(iii)
102
(iv)
101
(v)
99
Question
9
9.
If
(
5
x
−
1
3
x
)
=
3
,
find the value of
(
25
x
2
+
1
9
x
2
)
(i)
37
3
(ii)
35
3
(iii)
61
5
(iv)
13
Question
10
10.
Expand
(
x
−
1
x
)
(
x
+
1
x
)
(
x
2
+
1
x
2
)
(i)
3
x
5
+
7
x
+
3
x
3
+
7
x
+
4
x
3
+
4
x
5
(ii)
−
x
−
2
x
3
−
1
x
7
(iii)
x
4
−
1
x
4
(iv)
x
5
+
x
3
+
x
+
1
x
Question
11
11.
If
(
4
a
+
5
b
)
=
40
,
a
b
=
20
, find
(
16
a
2
+
25
b
2
)
(i)
799
(ii)
798
(iii)
801
(iv)
803
(v)
800
Question
12
12.
If
(
a
+
b
)
=
6
,
a
b
=
8
, find
(
a
2
+
b
2
)
(i)
21
(ii)
20
(iii)
19
(iv)
23
(v)
17
Question
13
13.
If
(
a
−
b
)
=
3
,
a
b
=
40
, find
(
a
4
−
b
4
)
(i)
3472
(ii)
3468
(iii)
3471
(iv)
3474
(v)
3470
Question
14
14.
(
a
+
b
)
2
(i)
(
2
a
2
+
2
a
b
+
b
2
)
(ii)
(
a
2
+
b
2
)
(iii)
(
a
2
+
2
a
b
+
b
2
)
(iv)
(
2
a
b
+
b
2
)
(v)
(
a
2
+
4
a
b
+
b
2
)
Question
15
15.
If
(
a
+
b
+
c
)
=
12
,
(
a
2
+
b
2
+
c
2
)
=
74
, find
(
a
b
+
a
c
+
b
c
)
(i)
33
(ii)
34
(iii)
36
(iv)
38
(v)
35
Question
16
16.
If
(
a
+
b
)
=
8
,
a
b
=
15
, find
(
a
3
+
b
3
)
(i)
154
(ii)
153
(iii)
150
(iv)
151
(v)
152
Question
17
17.
If
(
3
x
−
1
3
x
)
=
9
,
find the value of
(
27
x
3
−
1
27
x
3
)
(i)
754
(ii)
757
(iii)
756
(iv)
755
(v)
759
Question
18
18.
(
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
−
5
a
b
+
b
2
)
(v)
(
a
2
−
2
a
b
+
b
2
)
Question
19
19.
The value of
909
✕
903
is
(i)
820828
(ii)
820827
(iii)
820825
(iv)
820830
(v)
820826
Question
20
20.
If
(
x
+
1
x
)
=
3
,
find the value of
(
x
2
+
1
x
2
)
(i)
5
(ii)
8
(iii)
7
(iv)
9
(v)
6
Question
21
21.
(
3
a
+
3
2
b
)
(
3
a
−
3
2
b
)
(i)
(
9
a
2
−
9
4
b
2
)
(ii)
(
10
a
2
−
9
4
b
2
)
(iii)
(
8
a
2
−
9
4
b
2
)
(iv)
(
9
a
2
−
7
4
b
2
)
(v)
(
9
a
2
−
11
4
b
2
)
Question
22
22.
If
(
2
a
+
4
b
)
=
20
,
a
b
=
12
, find
(
16
a
4
+
256
b
4
)
(i)
24834
(ii)
24829
(iii)
24833
(iv)
24832
(v)
24831
Question
23
23.
If
(
x
+
1
x
)
=
9
,
find the value of
(
x
3
+
1
x
3
)
(i)
704
(ii)
700
(iii)
701
(iv)
702
(v)
703
Question
24
24.
(
a
+
b
)
(
a
2
−
a
b
+
b
2
)
(i)
(
a
3
+
4
b
3
)
(ii)
(
a
3
−
b
3
)
(iii)
b
3
(iv)
(
a
3
+
b
3
)
(v)
(
2
a
3
+
b
3
)
Question
25
25.
(
2
a
+
3
b
)
2
(i)
(
4
a
2
+
12
a
b
+
9
b
2
)
(ii)
(
4
a
2
+
10
a
b
+
9
b
2
)
(iii)
(
5
a
2
+
12
a
b
+
9
b
2
)
(iv)
(
3
a
2
+
12
a
b
+
9
b
2
)
(v)
(
4
a
2
+
15
a
b
+
9
b
2
)
Assignment Key
1) (iii)
2) (v)
3) (i)
4) (ii)
5) (v)
6) (iv)
7) (i)
8) (iv)
9) (i)
10) (iii)
11) (v)
12) (ii)
13) (iii)
14) (iii)
15) (v)
16) (v)
17) (iii)
18) (v)
19) (ii)
20) (iii)
21) (i)
22) (iv)
23) (iv)
24) (iv)
25) (i)
