EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Expansions
Grade : ICSE Grade IX
License : Non Commercial Use
Question
1
1.
If
(
a
+
b
+
c
)
=
16
,
(
a
2
+
b
2
+
c
2
)
=
86
, find
(
a
b
+
a
c
+
b
c
)
(i)
86
(ii)
84
(iii)
85
(iv)
87
(v)
83
Question
2
2.
If
(
x
2
+
1
x
2
)
=
51
,
find the value of
(
x
−
1
x
)
(i)
7
(ii)
8
(iii)
4
(iv)
10
(v)
6
Question
3
3.
(
3
a
+
3
2
b
)
(
3
a
−
3
2
b
)
(i)
(
8
a
2
−
9
4
b
2
)
(ii)
(
9
a
2
−
9
4
b
2
)
(iii)
(
9
a
2
−
11
4
b
2
)
(iv)
(
10
a
2
−
9
4
b
2
)
(v)
(
9
a
2
−
7
4
b
2
)
Question
4
4.
If
(
4
a
+
8
b
)
=
52
,
a
b
=
20
, find
(
16
a
2
+
64
b
2
)
(i)
1424
(ii)
1422
(iii)
1423
(iv)
1427
(v)
1425
Question
5
5.
If
(
x
2
+
1
x
2
)
=
23
,
find the value of
(
x
+
1
x
)
(i)
7
(ii)
4
(iii)
3
(iv)
6
(v)
5
Question
6
6.
The value of
51
1
3
✕
51
1
3
is
(i)
2635
1
9
(ii)
2635
1
3
(iii)
2635
1
11
(iv)
2635
1
7
(v)
2634
8
9
Question
7
7.
If
(
x
−
1
x
)
=
7
,
find the value of
(
x
3
−
1
x
3
)
(i)
364
(ii)
361
(iii)
365
(iv)
367
(v)
363
Question
8
8.
If
(
4
a
+
4
b
)
=
32
,
a
b
=
12
, find
(
64
a
3
+
64
b
3
)
(i)
14338
(ii)
14333
(iii)
14335
(iv)
14337
(v)
14336
Question
9
9.
If
(
x
4
+
1
x
4
)
=
2207
,
find the value of
(
x
+
1
x
)
(i)
8
(ii)
6
(iii)
7
(iv)
10
(v)
5
Question
10
10.
If
(
6
x
−
1
3
x
)
=
6
,
find the value of
(
36
x
2
+
1
9
x
2
)
(i)
39
(ii)
38
(iii)
41
(iv)
42
(v)
40
Question
11
11.
The value of
22
✕
22
is
(i)
483
(ii)
484
(iii)
482
(iv)
485
(v)
487
Question
12
12.
(
−
3
a
+
3
b
−
4
c
)
(
9
a
2
+
9
a
b
−
12
a
c
+
9
b
2
+
12
b
c
+
16
c
2
)
(i)
(
−
27
a
3
−
108
a
b
c
+
27
b
3
−
64
c
3
)
(ii)
(
−
26
a
3
−
108
a
b
c
+
27
b
3
−
64
c
3
)
(iii)
(
−
28
a
3
−
108
a
b
c
+
27
b
3
−
64
c
3
)
(iv)
(
−
27
a
3
−
106
a
b
c
+
27
b
3
−
64
c
3
)
(v)
(
−
27
a
3
−
110
a
b
c
+
27
b
3
−
64
c
3
)
Question
13
13.
If
(
256
a
4
+
256
b
4
)
=
397312
,
a
b
=
24
, find
(
4
a
+
4
b
)
(i)
40
(ii)
39
(iii)
37
(iv)
41
(v)
43
Question
14
14.
If
(
a
2
+
b
2
)
=
45
,
a
b
=
18
, find
(
a
+
b
)
(i)
7
(ii)
9
(iii)
8
(iv)
11
(v)
10
Question
15
15.
If
(
a
−
b
)
=
2
,
a
b
=
15
, find
(
a
4
−
b
4
)
(i)
545
(ii)
547
(iii)
543
(iv)
541
(v)
544
Question
16
16.
Expand
(
x
−
1
x
)
(
x
+
1
x
)
(
x
2
+
1
x
2
)
(i)
x
5
+
x
3
+
x
+
1
x
(ii)
x
4
−
1
x
4
(iii)
−
x
−
2
x
3
−
1
x
7
(iv)
4
x
5
+
7
x
+
4
x
3
+
7
x
+
3
x
3
+
3
x
5
Question
17
17.
If
(
2
x
+
1
2
x
)
=
7
,
find the value of
(
4
x
2
+
1
4
x
2
)
(i)
50
(ii)
48
(iii)
44
(iv)
46
(v)
47
Question
18
18.
The value of
6
✕
8
is
(i)
46
(ii)
49
(iii)
48
(iv)
47
(v)
50
Question
19
19.
Expand
(
x
+
1
x
)
2
(i)
x
2
+
2
+
1
x
(ii)
x
2
+
2
−
1
x
2
(iii)
x
2
+
2
+
1
x
2
(iv)
x
2
+
1
+
1
x
2
(v)
x
2
+
2
+
3
x
2
Question
20
20.
(
−
2
a
+
2
3
b
)
(
4
a
2
+
4
3
a
b
+
4
9
b
2
)
(i)
(
−
7
a
3
+
8
27
b
3
)
(ii)
(
−
8
a
3
+
2
9
b
3
)
(iii)
(
−
9
a
3
+
8
27
b
3
)
(iv)
(
−
8
a
3
+
10
27
b
3
)
(v)
(
−
8
a
3
+
8
27
b
3
)
Question
21
21.
(
−
3
a
−
3
2
b
)
2
(i)
(
10
a
2
+
9
a
b
+
9
4
b
2
)
(ii)
(
9
a
2
+
9
a
b
+
9
4
b
2
)
(iii)
(
9
a
2
+
11
a
b
+
9
4
b
2
)
(iv)
(
8
a
2
+
9
a
b
+
9
4
b
2
)
(v)
(
9
a
2
+
6
a
b
+
9
4
b
2
)
Question
22
22.
Expand
(
x
−
1
x
)
2
(i)
x
2
−
2
+
4
x
2
(ii)
x
2
−
3
+
1
x
2
(iii)
x
2
−
1
+
1
x
2
(iv)
x
2
−
2
+
1
x
2
(v)
x
2
−
4
+
1
x
2
Question
23
23.
If
(
a
2
−
b
2
)
=
5
,
a
b
=
6
, find
(
a
−
b
)
(i)
-1
(ii)
1
(iii)
4
(iv)
2
(v)
0
Question
24
24.
If
(
a
+
b
+
c
)
=
9
,
(
a
b
+
a
c
+
b
c
)
=
15
, find
(
a
2
+
b
2
+
c
2
)
(i)
48
(ii)
53
(iii)
50
(iv)
51
(v)
52
Question
25
25.
The value of
46
✕
46
is
(i)
2116
(ii)
2117
(iii)
2119
(iv)
2115
(v)
2113
Assignment Key
1) (iii)
2) (i)
3) (ii)
4) (i)
5) (v)
6) (i)
7) (i)
8) (v)
9) (iii)
10) (v)
11) (ii)
12) (i)
13) (i)
14) (ii)
15) (v)
16) (ii)
17) (v)
18) (iii)
19) (iii)
20) (v)
21) (ii)
22) (iv)
23) (ii)
24) (iv)
25) (i)
