EduSahara™ Assignment
Name : Finding Values of Expressions
Chapter : Expansions
Grade : ICSE Grade IX
License : Non Commercial Use
Question
1
1.
If
(
x
+
1
x
)
=
9
,
find the value of
(
x
2
+
1
x
2
)
(i)
78
(ii)
79
(iii)
80
(iv)
81
(v)
77
Question
2
2.
If
(
x
+
1
x
)
=
9
,
find the value of
(
x
4
+
1
x
4
)
(i)
6238
(ii)
6236
(iii)
6242
(iv)
6239
(v)
6240
Question
3
3.
If
(
x
−
1
x
)
=
2
,
find the value of
(
x
2
+
1
x
2
)
(i)
6
(ii)
5
(iii)
7
(iv)
3
(v)
9
Question
4
4.
If
(
x
−
1
x
)
=
6
,
find the value of
(
x
4
+
1
x
4
)
(i)
1442
(ii)
1441
(iii)
1445
(iv)
1443
(v)
1440
Question
5
5.
If
(
x
2
+
1
x
2
)
=
2
,
find the value of
(
x
+
1
x
)
(i)
5
(ii)
1
(iii)
2
(iv)
0
(v)
3
Question
6
6.
If
(
x
4
+
1
x
4
)
=
2
,
find the value of
(
x
+
1
x
)
(i)
3
(ii)
5
(iii)
2
(iv)
-1
(v)
1
Question
7
7.
If
(
x
2
+
1
x
2
)
=
38
,
find the value of
(
x
−
1
x
)
(i)
4
(ii)
5
(iii)
9
(iv)
7
(v)
6
Question
8
8.
If
(
x
4
+
1
x
4
)
=
34
,
find the value of
(
x
−
1
x
)
(i)
3
(ii)
1
(iii)
2
(iv)
5
(v)
-1
Question
9
9.
If
(
x
−
1
x
)
=
4
,
find the value of
(
x
3
−
1
x
3
)
(i)
78
(ii)
74
(iii)
75
(iv)
76
(v)
77
Question
10
10.
If
(
x
+
1
x
)
=
4
,
find the value of
(
x
3
+
1
x
3
)
(i)
51
(ii)
50
(iii)
55
(iv)
52
(v)
53
Question
11
11.
If
(
5
x
+
1
2
x
)
=
4
,
find the value of
(
25
x
2
+
1
4
x
2
)
(i)
8
(ii)
12
(iii)
13
(iv)
10
(v)
11
Question
12
12.
If
(
6
x
−
1
3
x
)
=
5
,
find the value of
(
36
x
2
+
1
9
x
2
)
(i)
29
(ii)
30
(iii)
26
(iv)
28
(v)
32
Question
13
13.
If
(
3
x
−
1
3
x
)
=
5
,
find the value of
(
27
x
3
−
1
27
x
3
)
(i)
140
(ii)
138
(iii)
142
(iv)
139
(v)
141
Question
14
14.
If
(
a
+
b
)
=
6
,
a
b
=
8
, find
(
a
2
+
b
2
)
(i)
19
(ii)
20
(iii)
18
(iv)
22
(v)
21
Question
15
15.
If
(
a
2
+
b
2
)
=
40
,
a
b
=
12
, find
(
a
+
b
)
(i)
10
(ii)
6
(iii)
8
(iv)
7
(v)
9
Question
16
16.
If
(
a
−
b
)
=
3
,
a
b
=
10
, find
(
a
2
−
b
2
)
(i)
20
(ii)
22
(iii)
23
(iv)
18
(v)
21
Question
17
17.
If
(
a
2
−
b
2
)
=
9
,
a
b
=
20
, find
(
a
−
b
)
(i)
1
(ii)
-1
(iii)
3
(iv)
0
(v)
2
Question
18
18.
If
(
7
a
+
5
b
)
=
55
,
a
b
=
20
, find
(
49
a
2
+
25
b
2
)
(i)
1626
(ii)
1624
(iii)
1623
(iv)
1627
(v)
1625
Question
19
19.
If
(
16
a
2
+
16
b
2
)
=
464
,
a
b
=
10
, find
(
4
a
+
4
b
)
(i)
30
(ii)
29
(iii)
26
(iv)
27
(v)
28
Question
20
20.
If
(
a
+
b
)
=
5
,
a
b
=
6
, find
(
a
3
+
b
3
)
(i)
36
(ii)
35
(iii)
37
(iv)
32
(v)
34
Question
21
21.
If
(
a
−
b
)
=
2
,
a
b
=
24
, find
(
a
3
−
b
3
)
(i)
153
(ii)
152
(iii)
154
(iv)
150
(v)
151
Question
22
22.
If
(
2
a
+
6
b
)
=
18
,
a
b
=
6
, find
(
8
a
3
+
216
b
3
)
(i)
1943
(ii)
1941
(iii)
1945
(iv)
1944
(v)
1946
Question
23
23.
If
(
a
+
b
)
=
8
,
a
b
=
15
, find
(
a
4
+
b
4
)
(i)
707
(ii)
706
(iii)
708
(iv)
705
(v)
703
Question
24
24.
If
(
a
4
+
b
4
)
=
881
,
a
b
=
20
, find
(
a
+
b
)
(i)
7
(ii)
8
(iii)
12
(iv)
10
(v)
9
Question
25
25.
If
(
a
−
b
)
=
1
,
a
b
=
6
, find
(
a
4
−
b
4
)
(i)
67
(ii)
66
(iii)
64
(iv)
62
(v)
65
Question
26
26.
If
(
4
a
+
4
b
)
=
36
,
a
b
=
18
, find
(
256
a
4
+
256
b
4
)
(i)
352509
(ii)
352512
(iii)
352515
(iv)
352513
(v)
352511
Question
27
27.
If
(
16
a
4
+
16
b
4
)
=
30736
,
a
b
=
30
, find
(
2
a
+
2
b
)
(i)
22
(ii)
25
(iii)
19
(iv)
21
(v)
23
Question
28
28.
If
(
a
+
b
+
c
)
=
4
,
(
a
2
+
b
2
+
c
2
)
=
6
, find
(
a
b
+
a
c
+
b
c
)
(i)
4
(ii)
8
(iii)
2
(iv)
6
(v)
5
Question
29
29.
If
(
a
+
b
+
c
)
=
14
,
(
a
b
+
a
c
+
b
c
)
=
64
, find
(
a
2
+
b
2
+
c
2
)
(i)
66
(ii)
69
(iii)
67
(iv)
71
(v)
68
Assignment Key
1) (ii)
2) (iv)
3) (i)
4) (i)
5) (iii)
6) (iii)
7) (v)
8) (iii)
9) (iv)
10) (iv)
11) (v)
12) (i)
13) (i)
14) (ii)
15) (iii)
16) (v)
17) (i)
18) (v)
19) (v)
20) (ii)
21) (ii)
22) (iv)
23) (ii)
24) (v)
25) (v)
26) (ii)
27) (i)
28) (v)
29) (v)
