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)
82
(ii)
80
(iii)
79
(iv)
76
(v)
78
Question
2
2.
If
(
x
+
1
x
)
=
8
,
find the value of
(
x
4
+
1
x
4
)
(i)
3841
(ii)
3840
(iii)
3844
(iv)
3843
(v)
3842
Question
3
3.
If
(
x
−
1
x
)
=
4
,
find the value of
(
x
2
+
1
x
2
)
(i)
18
(ii)
21
(iii)
19
(iv)
16
(v)
17
Question
4
4.
If
(
x
−
1
x
)
=
5
,
find the value of
(
x
4
+
1
x
4
)
(i)
726
(ii)
725
(iii)
727
(iv)
729
(v)
728
Question
5
5.
If
(
x
2
+
1
x
2
)
=
34
,
find the value of
(
x
+
1
x
)
(i)
7
(ii)
5
(iii)
9
(iv)
4
(v)
6
Question
6
6.
If
(
x
4
+
1
x
4
)
=
2
,
find the value of
(
x
+
1
x
)
(i)
-1
(ii)
3
(iii)
4
(iv)
1
(v)
2
Question
7
7.
If
(
x
2
+
1
x
2
)
=
66
,
find the value of
(
x
−
1
x
)
(i)
9
(ii)
7
(iii)
6
(iv)
8
(v)
11
Question
8
8.
If
(
x
4
+
1
x
4
)
=
4354
,
find the value of
(
x
−
1
x
)
(i)
9
(ii)
5
(iii)
7
(iv)
11
(v)
8
Question
9
9.
If
(
x
−
1
x
)
=
3
,
find the value of
(
x
3
−
1
x
3
)
(i)
34
(ii)
35
(iii)
36
(iv)
39
(v)
37
Question
10
10.
If
(
x
+
1
x
)
=
9
,
find the value of
(
x
3
+
1
x
3
)
(i)
704
(ii)
701
(iii)
702
(iv)
699
(v)
703
Question
11
11.
If
(
6
x
+
1
2
x
)
=
8
,
find the value of
(
36
x
2
+
1
4
x
2
)
(i)
55
(ii)
60
(iii)
59
(iv)
58
(v)
57
Question
12
12.
If
(
3
x
−
1
3
x
)
=
8
,
find the value of
(
9
x
2
+
1
9
x
2
)
(i)
65
(ii)
64
(iii)
69
(iv)
67
(v)
66
Question
13
13.
If
(
2
x
−
1
3
x
)
=
6
,
find the value of
(
8
x
3
−
1
27
x
3
)
(i)
225
(ii)
229
(iii)
230
(iv)
228
(v)
227
Question
14
14.
If
(
a
+
b
)
=
10
,
a
b
=
24
, find
(
a
2
+
b
2
)
(i)
55
(ii)
52
(iii)
51
(iv)
53
(v)
50
Question
15
15.
If
(
a
2
+
b
2
)
=
34
,
a
b
=
15
, find
(
a
+
b
)
(i)
9
(ii)
11
(iii)
8
(iv)
6
(v)
7
Question
16
16.
If
(
a
−
b
)
=
2
,
a
b
=
15
, find
(
a
2
−
b
2
)
(i)
15
(ii)
18
(iii)
14
(iv)
17
(v)
16
Question
17
17.
If
(
a
2
−
b
2
)
=
11
,
a
b
=
30
, find
(
a
−
b
)
(i)
0
(ii)
2
(iii)
-2
(iv)
4
(v)
1
Question
18
18.
If
(
7
a
+
4
b
)
=
43
,
a
b
=
10
, find
(
49
a
2
+
16
b
2
)
(i)
1287
(ii)
1291
(iii)
1289
(iv)
1288
(v)
1290
Question
19
19.
If
(
36
a
2
+
25
b
2
)
=
1696
,
a
b
=
24
, find
(
6
a
+
5
b
)
(i)
54
(ii)
58
(iii)
56
(iv)
57
(v)
55
Question
20
20.
If
(
a
+
b
)
=
7
,
a
b
=
10
, find
(
a
3
+
b
3
)
(i)
133
(ii)
131
(iii)
134
(iv)
132
(v)
135
Question
21
21.
If
(
a
−
b
)
=
4
,
a
b
=
12
, find
(
a
3
−
b
3
)
(i)
209
(ii)
207
(iii)
211
(iv)
205
(v)
208
Question
22
22.
If
(
6
a
+
3
b
)
=
42
,
a
b
=
20
, find
(
216
a
3
+
27
b
3
)
(i)
28728
(ii)
28727
(iii)
28726
(iv)
28730
(v)
28729
Question
23
23.
If
(
a
+
b
)
=
11
,
a
b
=
24
, find
(
a
4
+
b
4
)
(i)
4177
(ii)
4179
(iii)
4176
(iv)
4175
(v)
4178
Question
24
24.
If
(
a
4
+
b
4
)
=
881
,
a
b
=
20
, find
(
a
+
b
)
(i)
8
(ii)
6
(iii)
10
(iv)
9
(v)
11
Question
25
25.
If
(
a
−
b
)
=
2
,
a
b
=
35
, find
(
a
4
−
b
4
)
(i)
1779
(ii)
1774
(iii)
1776
(iv)
1777
(v)
1775
Question
26
26.
If
(
3
a
+
2
b
)
=
19
,
a
b
=
10
, find
(
81
a
4
+
16
b
4
)
(i)
50880
(ii)
50883
(iii)
50882
(iv)
50879
(v)
50881
Question
27
27.
If
(
81
a
4
+
16
b
4
)
=
54721
,
a
b
=
20
, find
(
3
a
+
2
b
)
(i)
24
(ii)
25
(iii)
22
(iv)
23
(v)
21
Question
28
28.
If
(
a
+
b
+
c
)
=
17
,
(
a
2
+
b
2
+
c
2
)
=
109
, find
(
a
b
+
a
c
+
b
c
)
(i)
90
(ii)
91
(iii)
92
(iv)
87
(v)
89
Question
29
29.
If
(
a
+
b
+
c
)
=
20
,
(
a
b
+
a
c
+
b
c
)
=
131
, find
(
a
2
+
b
2
+
c
2
)
(i)
138
(ii)
135
(iii)
139
(iv)
137
(v)
140
Assignment Key
1) (iii)
2) (v)
3) (i)
4) (iii)
5) (v)
6) (v)
7) (iv)
8) (v)
9) (iii)
10) (iii)
11) (iv)
12) (v)
13) (iv)
14) (ii)
15) (iii)
16) (v)
17) (v)
18) (iii)
19) (iii)
20) (i)
21) (v)
22) (i)
23) (i)
24) (iv)
25) (iii)
26) (v)
27) (iv)
28) (i)
29) (i)
