EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Expansions
Grade : ICSE Grade IX
License : Non Commercial Use
Question
1
1.
If
(
−
3
a
−
5
b
)
✕
A =
(
9
a
2
+
30
a
b
+
25
b
2
)
,
then A =
(i)
(
−
3
a
−
2
b
)
(ii)
(
−
4
a
−
5
b
)
(iii)
(
−
2
a
−
5
b
)
(iv)
(
−
3
a
−
5
b
)
(v)
(
−
3
a
−
7
b
)
Question
2
2.
If
(
a
+
b
+
c
)
=
11
,
(
a
2
+
b
2
+
c
2
)
=
49
, find
(
a
b
+
a
c
+
b
c
)
(i)
39
(ii)
34
(iii)
36
(iv)
35
(v)
37
Question
3
3.
Expand
(
x
−
1
)
(
x
+
1
)
(
x
2
+
1
)
(i)
4
x
5
+
7
x
3
+
4
x
4
+
7
x
2
+
3
x
+
3
(ii)
x
4
−
1
(iii)
−
2
x
3
−
2
x
(iv)
x
5
+
x
4
+
x
3
+
x
2
Question
4
4.
If
(
4
a
2
+
49
b
2
)
=
585
,
a
b
=
18
, find
(
2
a
+
7
b
)
(i)
34
(ii)
30
(iii)
32
(iv)
35
(v)
33
Question
5
5.
(
−
2
3
a
+
2
b
)
2
(i)
(
4
11
a
2
−
8
3
a
b
+
4
b
2
)
(ii)
(
4
9
a
2
−
10
3
a
b
+
4
b
2
)
(iii)
(
4
7
a
2
−
8
3
a
b
+
4
b
2
)
(iv)
(
4
9
a
2
−
2
a
b
+
4
b
2
)
(v)
(
4
9
a
2
−
8
3
a
b
+
4
b
2
)
Question
6
6.
If
(
x
+
1
x
)
=
2
,
find the value of
(
x
2
+
1
x
2
)
(i)
3
(ii)
2
(iii)
1
(iv)
5
(v)
-1
Question
7
7.
The value of
803
✕
798
is
(i)
640794
(ii)
640792
(iii)
640797
(iv)
640795
(v)
640793
Question
8
8.
If
(
x
4
+
1
x
4
)
=
119
,
find the value of
(
x
−
1
x
)
(i)
4
(ii)
3
(iii)
0
(iv)
2
(v)
5
Question
9
9.
If
(
8
a
+
2
b
)
=
44
,
a
b
=
10
, find
(
64
a
2
+
4
b
2
)
(i)
1617
(ii)
1615
(iii)
1616
(iv)
1614
(v)
1619
Question
10
10.
If
(
3
x
+
1
2
x
)
=
3
,
find the value of
(
9
x
2
+
1
4
x
2
)
(i)
6
(ii)
3
(iii)
5
(iv)
8
(v)
7
Question
11
11.
(
−
3
a
+
3
b
)
2
(i)
(
8
a
2
−
18
a
b
+
9
b
2
)
(ii)
(
9
a
2
−
16
a
b
+
9
b
2
)
(iii)
(
9
a
2
−
21
a
b
+
9
b
2
)
(iv)
(
9
a
2
−
18
a
b
+
9
b
2
)
(v)
(
10
a
2
−
18
a
b
+
9
b
2
)
Question
12
12.
(
−
2
3
a
−
2
3
b
−
2
c
)
(
4
9
a
2
−
4
9
a
b
−
4
3
a
c
+
4
9
b
2
−
4
3
b
c
+
4
c
2
)
(i)
(
−
8
27
a
3
+
8
3
a
b
c
−
8
27
b
3
−
8
c
3
)
(ii)
(
−
8
27
a
3
+
10
3
a
b
c
−
8
27
b
3
−
8
c
3
)
(iii)
(
−
8
29
a
3
+
8
3
a
b
c
−
8
27
b
3
−
8
c
3
)
(iv)
(
−
8
27
a
3
+
2
a
b
c
−
8
27
b
3
−
8
c
3
)
(v)
(
−
8
25
a
3
+
8
3
a
b
c
−
8
27
b
3
−
8
c
3
)
Question
13
13.
Expand
(
x
−
1
x
)
(
x
+
1
x
)
(
x
2
+
1
x
2
)
(i)
−
x
−
2
x
3
−
1
x
7
(ii)
3
x
5
+
6
x
+
3
x
3
+
6
x
+
3
x
3
+
3
x
5
(iii)
x
5
+
x
3
+
x
+
1
x
(iv)
x
4
−
1
x
4
Question
14
14.
(
a
+
b
+
c
)
2
(i)
(
a
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)
(
2
a
2
+
2
a
b
+
2
a
c
+
b
2
+
2
b
c
+
c
2
)
(iv)
(
2
a
b
+
2
a
c
+
b
2
+
2
b
c
+
c
2
)
(v)
(
a
2
+
2
a
b
+
2
a
c
+
b
2
+
2
b
c
+
c
2
)
Question
15
15.
If
(
x
−
1
x
)
=
2
,
find the value of
(
x
4
+
1
x
4
)
(i)
35
(ii)
33
(iii)
36
(iv)
32
(v)
34
Question
16
16.
If
(
x
−
1
x
)
=
5
,
find the value of
(
x
3
−
1
x
3
)
(i)
140
(ii)
139
(iii)
142
(iv)
137
(v)
141
Question
17
17.
The value of
29
✕
29
is
(i)
838
(ii)
843
(iii)
840
(iv)
842
(v)
841
Question
18
18.
(
a
−
b
)
(
a
+
b
)
(i)
(
a
2
−
3
b
2
)
(ii)
(
2
a
2
−
b
2
)
(iii)
(
a
2
+
2
b
2
)
(iv)
(
a
2
−
b
2
)
(v)
(
−
b
2
)
Question
19
19.
If
(
x
4
+
1
x
4
)
=
47
,
find the value of
(
x
+
1
x
)
(i)
4
(ii)
3
(iii)
2
(iv)
0
(v)
6
Question
20
20.
If
(
2
a
−
3
b
)
✕
A =
(
4
a
2
−
9
b
2
)
,
then A =
(i)
(
3
a
+
3
b
)
(ii)
(
2
a
+
6
b
)
(iii)
(
2
a
+
3
b
)
(iv)
(
a
+
3
b
)
(v)
(
2
a
+
b
)
Question
21
21.
The value of
594
✕
598
is
(i)
355213
(ii)
355210
(iii)
355212
(iv)
355214
(v)
355211
Question
22
22.
If
(
x
2
+
1
x
2
)
=
79
,
find the value of
(
x
+
1
x
)
(i)
6
(ii)
9
(iii)
10
(iv)
11
(v)
8
Question
23
23.
If
(
2
a
+
5
b
)
✕
A =
(
4
a
2
+
20
a
b
+
25
b
2
)
,
then A =
(i)
(
2
a
+
3
b
)
(ii)
(
3
a
+
5
b
)
(iii)
(
2
a
+
8
b
)
(iv)
(
a
+
5
b
)
(v)
(
2
a
+
5
b
)
Question
24
24.
If
(
a
−
b
)
=
1
,
a
b
=
12
, find
(
a
4
−
b
4
)
(i)
175
(ii)
176
(iii)
177
(iv)
174
(v)
173
Question
25
25.
If
(
a
2
−
b
2
)
=
9
,
a
b
=
20
, find
(
a
−
b
)
(i)
-2
(ii)
0
(iii)
2
(iv)
3
(v)
1
Assignment Key
1) (iv)
2) (iii)
3) (ii)
4) (v)
5) (v)
6) (ii)
7) (i)
8) (ii)
9) (iii)
10) (i)
11) (iv)
12) (i)
13) (iv)
14) (v)
15) (v)
16) (i)
17) (v)
18) (iv)
19) (ii)
20) (iii)
21) (iii)
22) (ii)
23) (v)
24) (i)
25) (v)
