EduSahara™ Assignment
Name : Finding Values of Expressions
Chapter : Expansions
Grade : ICSE Grade IX
License : Non Commercial Use
Question
1
1.
If
(
x
+
1
x
)
=
2
,
find the value of
(
x
2
+
1
x
2
)
(i)
2
(ii)
3
(iii)
5
(iv)
0
(v)
1
Question
2
2.
If
(
x
+
1
x
)
=
3
,
find the value of
(
x
4
+
1
x
4
)
(i)
48
(ii)
47
(iii)
46
(iv)
44
(v)
50
Question
3
3.
If
(
x
−
1
x
)
=
3
,
find the value of
(
x
2
+
1
x
2
)
(i)
8
(ii)
11
(iii)
14
(iv)
12
(v)
10
Question
4
4.
If
(
x
−
1
x
)
=
7
,
find the value of
(
x
4
+
1
x
4
)
(i)
2596
(ii)
2598
(iii)
2602
(iv)
2599
(v)
2600
Question
5
5.
If
(
x
2
+
1
x
2
)
=
79
,
find the value of
(
x
+
1
x
)
(i)
9
(ii)
12
(iii)
10
(iv)
8
(v)
7
Question
6
6.
If
(
x
4
+
1
x
4
)
=
2207
,
find the value of
(
x
+
1
x
)
(i)
6
(ii)
7
(iii)
4
(iv)
9
(v)
8
Question
7
7.
If
(
x
2
+
1
x
2
)
=
51
,
find the value of
(
x
−
1
x
)
(i)
4
(ii)
10
(iii)
7
(iv)
6
(v)
8
Question
8
8.
If
(
x
4
+
1
x
4
)
=
322
,
find the value of
(
x
−
1
x
)
(i)
6
(ii)
4
(iii)
1
(iv)
5
(v)
3
Question
9
9.
If
(
x
−
1
x
)
=
6
,
find the value of
(
x
3
−
1
x
3
)
(i)
233
(ii)
236
(iii)
234
(iv)
231
(v)
235
Question
10
10.
If
(
x
+
1
x
)
=
5
,
find the value of
(
x
3
+
1
x
3
)
(i)
109
(ii)
112
(iii)
107
(iv)
111
(v)
110
Question
11
11.
If
(
5
x
+
1
2
x
)
=
3
,
find the value of
(
25
x
2
+
1
4
x
2
)
(i)
7
(ii)
5
(iii)
3
(iv)
4
(v)
2
Question
12
12.
If
(
4
x
−
1
3
x
)
=
3
,
find the value of
(
16
x
2
+
1
9
x
2
)
(i)
11
(ii)
13
(iii)
37
3
(iv)
57
5
(v)
35
3
Question
13
13.
If
(
2
x
−
1
3
x
)
=
9
,
find the value of
(
8
x
3
−
1
27
x
3
)
(i)
748
(ii)
750
(iii)
745
(iv)
746
(v)
747
Question
14
14.
If
(
a
+
b
)
=
6
,
a
b
=
8
, find
(
a
2
+
b
2
)
(i)
19
(ii)
20
(iii)
21
(iv)
23
(v)
18
Question
15
15.
If
(
a
2
+
b
2
)
=
45
,
a
b
=
18
, find
(
a
+
b
)
(i)
10
(ii)
7
(iii)
8
(iv)
12
(v)
9
Question
16
16.
If
(
a
−
b
)
=
4
,
a
b
=
32
, find
(
a
2
−
b
2
)
(i)
45
(ii)
51
(iii)
49
(iv)
47
(v)
48
Question
17
17.
If
(
a
2
−
b
2
)
=
55
,
a
b
=
24
, find
(
a
−
b
)
(i)
7
(ii)
4
(iii)
5
(iv)
6
(v)
3
Question
18
18.
If
(
2
a
+
3
b
)
=
18
,
a
b
=
12
, find
(
4
a
2
+
9
b
2
)
(i)
178
(ii)
181
(iii)
179
(iv)
183
(v)
180
Question
19
19.
If
(
36
a
2
+
16
b
2
)
=
1360
,
a
b
=
12
, find
(
6
a
+
4
b
)
(i)
43
(ii)
44
(iii)
42
(iv)
45
(v)
47
Question
20
20.
If
(
a
+
b
)
=
13
,
a
b
=
42
, find
(
a
3
+
b
3
)
(i)
558
(ii)
562
(iii)
556
(iv)
560
(v)
559
Question
21
21.
If
(
a
−
b
)
=
2
,
a
b
=
48
, find
(
a
3
−
b
3
)
(i)
298
(ii)
296
(iii)
297
(iv)
294
(v)
295
Question
22
22.
If
(
6
a
+
6
b
)
=
48
,
a
b
=
12
, find
(
216
a
3
+
216
b
3
)
(i)
48387
(ii)
48383
(iii)
48382
(iv)
48384
(v)
48385
Question
23
23.
If
(
a
+
b
)
=
7
,
a
b
=
12
, find
(
a
4
+
b
4
)
(i)
336
(ii)
334
(iii)
337
(iv)
338
(v)
340
Question
24
24.
If
(
a
4
+
b
4
)
=
1377
,
a
b
=
18
, find
(
a
+
b
)
(i)
9
(ii)
11
(iii)
10
(iv)
7
(v)
8
Question
25
25.
If
(
a
−
b
)
=
2
,
a
b
=
15
, find
(
a
4
−
b
4
)
(i)
544
(ii)
547
(iii)
545
(iv)
541
(v)
543
Question
26
26.
If
(
3
a
+
4
b
)
=
26
,
a
b
=
12
, find
(
81
a
4
+
256
b
4
)
(i)
109072
(ii)
109073
(iii)
109071
(iv)
109074
(v)
109069
Question
27
27.
If
(
256
a
4
+
81
b
4
)
=
22032
,
a
b
=
6
, find
(
4
a
+
3
b
)
(i)
21
(ii)
17
(iii)
18
(iv)
15
(v)
19
Question
28
28.
If
(
a
+
b
+
c
)
=
8
,
(
a
2
+
b
2
+
c
2
)
=
30
, find
(
a
b
+
a
c
+
b
c
)
(i)
16
(ii)
17
(iii)
20
(iv)
18
(v)
15
Question
29
29.
If
(
a
+
b
+
c
)
=
10
,
(
a
b
+
a
c
+
b
c
)
=
31
, find
(
a
2
+
b
2
+
c
2
)
(i)
37
(ii)
36
(iii)
38
(iv)
41
(v)
39
Assignment Key
1) (i)
2) (ii)
3) (ii)
4) (iv)
5) (i)
6) (ii)
7) (iii)
8) (ii)
9) (iii)
10) (v)
11) (iv)
12) (v)
13) (v)
14) (ii)
15) (v)
16) (v)
17) (iii)
18) (v)
19) (ii)
20) (v)
21) (ii)
22) (iv)
23) (iii)
24) (i)
25) (i)
26) (i)
27) (iii)
28) (ii)
29) (iii)
