EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Expansions
Grade : ICSE Grade IX
License : Non Commercial Use
Question
1
1.
(
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)
(
−
3
a
b
c
+
b
3
+
c
3
)
(iii)
(
a
3
−
a
b
c
+
b
3
+
c
3
)
(iv)
(
2
a
3
−
3
a
b
c
+
b
3
+
c
3
)
(v)
(
a
3
−
6
a
b
c
+
b
3
+
c
3
)
Question
2
2.
If
(
a
+
b
+
c
)
=
20
,
(
a
2
+
b
2
+
c
2
)
=
136
, find
(
a
b
+
a
c
+
b
c
)
(i)
133
(ii)
132
(iii)
130
(iv)
131
(v)
135
Question
3
3.
If
(
4
a
+
2
b
)
=
26
,
a
b
=
15
, find
(
16
a
2
+
4
b
2
)
(i)
438
(ii)
434
(iii)
435
(iv)
436
(v)
437
Question
4
4.
(
a
−
b
)
(
a
2
+
a
b
+
b
2
)
(i)
(
−
b
3
)
(ii)
(
a
3
−
3
b
3
)
(iii)
(
a
3
+
b
3
)
(iv)
(
a
3
−
b
3
)
(v)
(
2
a
3
−
b
3
)
Question
5
5.
If
(
x
−
1
x
)
=
4
,
find the value of
(
x
3
−
1
x
3
)
(i)
73
(ii)
75
(iii)
78
(iv)
76
(v)
77
Question
6
6.
The value of
299
✕
299
is
(i)
89402
(ii)
89398
(iii)
89401
(iv)
89403
(v)
89400
Question
7
7.
(
−
a
−
4
b
)
(
a
2
−
4
a
b
+
16
b
2
)
(i)
(
−
64
b
3
)
(ii)
(
−
a
3
−
61
b
3
)
(iii)
(
−
a
3
−
64
b
3
)
(iv)
(
−
a
3
−
67
b
3
)
(v)
(
−
2
a
3
−
64
b
3
)
Question
8
8.
(
−
2
3
a
−
3
b
)
2
(i)
(
4
11
a
2
+
4
a
b
+
9
b
2
)
(ii)
(
4
9
a
2
+
4
a
b
+
9
b
2
)
(iii)
(
4
7
a
2
+
4
a
b
+
9
b
2
)
(iv)
(
4
9
a
2
+
a
b
+
9
b
2
)
(v)
(
4
9
a
2
+
6
a
b
+
9
b
2
)
Question
9
9.
The value of
70
1
4
✕
70
1
4
is
(i)
4935
1
16
(ii)
4935
1
14
(iii)
4934
15
16
(iv)
4935
1
18
(v)
4935
3
16
Question
10
10.
If
(
2
x
−
1
3
x
)
=
5
,
find the value of
(
8
x
3
−
1
27
x
3
)
(i)
134
(ii)
135
(iii)
133
(iv)
137
(v)
136
Question
11
11.
The value of
398
1
2
✕
398
1
2
is
(i)
158802
1
4
(ii)
158802
1
2
(iii)
158801
3
4
(iv)
158802
1
6
(v)
158802
3
4
Question
12
12.
(
−
2
a
+
3
b
)
(
4
a
2
+
6
a
b
+
9
b
2
)
(i)
(
−
8
a
3
+
24
b
3
)
(ii)
(
−
8
a
3
+
30
b
3
)
(iii)
(
−
7
a
3
+
27
b
3
)
(iv)
(
−
9
a
3
+
27
b
3
)
(v)
(
−
8
a
3
+
27
b
3
)
Question
13
13.
If
(
5
a
−
5
b
)
✕
A =
(
25
a
2
−
50
a
b
+
25
b
2
)
,
then A =
(i)
(
4
a
−
5
b
)
(ii)
(
5
a
−
2
b
)
(iii)
(
6
a
−
5
b
)
(iv)
(
5
a
−
8
b
)
(v)
(
5
a
−
5
b
)
Question
14
14.
The value of
406
✕
391
is
(i)
158745
(ii)
158746
(iii)
158748
(iv)
158747
(v)
158743
Question
15
15.
If
(
3
a
−
4
b
)
✕
A =
(
9
a
2
−
16
b
2
)
,
then A =
(i)
(
3
a
+
4
b
)
(ii)
(
2
a
+
4
b
)
(iii)
(
4
a
+
4
b
)
(iv)
(
3
a
+
2
b
)
(v)
(
3
a
+
7
b
)
Question
16
16.
The value of
67
✕
53
is
(i)
3550
(ii)
3549
(iii)
3551
(iv)
3554
(v)
3552
Question
17
17.
The value of
20
2
3
✕
20
2
3
is
(i)
427
1
11
(ii)
427
1
7
(iii)
427
1
9
(iv)
427
1
3
(v)
426
8
9
Question
18
18.
If
(
6
x
−
1
3
x
)
=
4
,
find the value of
(
36
x
2
+
1
9
x
2
)
(i)
21
(ii)
19
(iii)
17
(iv)
20
(v)
23
Question
19
19.
If
(
6
a
+
5
b
)
=
39
,
a
b
=
12
, find
(
216
a
3
+
125
b
3
)
(i)
17200
(ii)
17199
(iii)
17201
(iv)
17197
(v)
17198
Question
20
20.
If
(
x
4
+
1
x
4
)
=
527
,
find the value of
(
x
+
1
x
)
(i)
7
(ii)
5
(iii)
6
(iv)
2
(v)
4
Question
21
21.
(
2
a
+
4
b
)
(
4
a
2
−
8
a
b
+
16
b
2
)
(i)
(
7
a
3
+
64
b
3
)
(ii)
(
9
a
3
+
64
b
3
)
(iii)
(
8
a
3
+
61
b
3
)
(iv)
(
8
a
3
+
64
b
3
)
(v)
(
8
a
3
+
67
b
3
)
Question
22
22.
(
−
4
a
−
3
b
)
(
−
4
a
+
3
b
)
(i)
(
16
a
2
−
6
b
2
)
(ii)
(
15
a
2
−
9
b
2
)
(iii)
(
16
a
2
−
9
b
2
)
(iv)
(
16
a
2
−
11
b
2
)
(v)
(
17
a
2
−
9
b
2
)
Question
23
23.
(
3
a
+
2
b
−
2
3
c
)
(
9
a
2
−
6
a
b
+
2
a
c
+
4
b
2
+
4
3
b
c
+
4
9
c
2
)
(i)
(
26
a
3
+
12
a
b
c
+
8
b
3
−
8
27
c
3
)
(ii)
(
27
a
3
+
15
a
b
c
+
8
b
3
−
8
27
c
3
)
(iii)
(
27
a
3
+
10
a
b
c
+
8
b
3
−
8
27
c
3
)
(iv)
(
28
a
3
+
12
a
b
c
+
8
b
3
−
8
27
c
3
)
(v)
(
27
a
3
+
12
a
b
c
+
8
b
3
−
8
27
c
3
)
Question
24
24.
(
a
+
b
+
c
)
2
(i)
(
a
2
+
2
a
b
+
2
a
c
+
b
2
+
2
b
c
+
c
2
)
(ii)
(
a
2
−
a
b
+
2
a
c
+
b
2
+
2
b
c
+
c
2
)
(iii)
(
a
2
+
4
a
b
+
2
a
c
+
b
2
+
2
b
c
+
c
2
)
(iv)
(
2
a
2
+
2
a
b
+
2
a
c
+
b
2
+
2
b
c
+
c
2
)
(v)
(
2
a
b
+
2
a
c
+
b
2
+
2
b
c
+
c
2
)
Question
25
25.
If
(
a
+
b
)
=
9
,
a
b
=
20
, find
(
a
4
+
b
4
)
(i)
881
(ii)
882
(iii)
883
(iv)
878
(v)
880
Assignment Key
1) (i)
2) (ii)
3) (iv)
4) (iv)
5) (iv)
6) (iii)
7) (iii)
8) (ii)
9) (i)
10) (ii)
11) (i)
12) (v)
13) (v)
14) (ii)
15) (i)
16) (iii)
17) (iii)
18) (iv)
19) (ii)
20) (ii)
21) (iv)
22) (iii)
23) (v)
24) (i)
25) (i)
