EduSahara™ Assignment
Name : Finding Values of Expressions
Chapter : Expansions
Grade : ICSE Grade IX
License : Non Commercial Use
Question
1
1.
If
(
x
+
1
x
)
=
6
,
find the value of
(
x
2
+
1
x
2
)
(i)
35
(ii)
33
(iii)
31
(iv)
37
(v)
34
Question
2
2.
If
(
x
+
1
x
)
=
8
,
find the value of
(
x
4
+
1
x
4
)
(i)
3840
(ii)
3843
(iii)
3842
(iv)
3841
(v)
3844
Question
3
3.
If
(
x
−
1
x
)
=
2
,
find the value of
(
x
2
+
1
x
2
)
(i)
8
(ii)
6
(iii)
4
(iv)
7
(v)
5
Question
4
4.
If
(
x
−
1
x
)
=
9
,
find the value of
(
x
4
+
1
x
4
)
(i)
6888
(ii)
6885
(iii)
6890
(iv)
6886
(v)
6887
Question
5
5.
If
(
x
2
+
1
x
2
)
=
14
,
find the value of
(
x
+
1
x
)
(i)
3
(ii)
4
(iii)
7
(iv)
2
(v)
5
Question
6
6.
If
(
x
4
+
1
x
4
)
=
194
,
find the value of
(
x
+
1
x
)
(i)
5
(ii)
2
(iii)
3
(iv)
4
(v)
7
Question
7
7.
If
(
x
2
+
1
x
2
)
=
38
,
find the value of
(
x
−
1
x
)
(i)
6
(ii)
5
(iii)
3
(iv)
8
(v)
7
Question
8
8.
If
(
x
4
+
1
x
4
)
=
322
,
find the value of
(
x
−
1
x
)
(i)
2
(ii)
7
(iii)
4
(iv)
5
(v)
3
Question
9
9.
If
(
x
−
1
x
)
=
6
,
find the value of
(
x
3
−
1
x
3
)
(i)
234
(ii)
233
(iii)
237
(iv)
232
(v)
235
Question
10
10.
If
(
x
+
1
x
)
=
7
,
find the value of
(
x
3
+
1
x
3
)
(i)
321
(ii)
320
(iii)
323
(iv)
324
(v)
322
Question
11
11.
If
(
6
x
+
1
2
x
)
=
3
,
find the value of
(
36
x
2
+
1
4
x
2
)
(i)
6
(ii)
4
(iii)
1
(iv)
2
(v)
3
Question
12
12.
If
(
5
x
−
1
3
x
)
=
3
,
find the value of
(
25
x
2
+
1
9
x
2
)
(i)
61
5
(ii)
13
(iii)
37
3
(iv)
35
3
Question
13
13.
If
(
4
x
−
1
3
x
)
=
8
,
find the value of
(
64
x
3
−
1
27
x
3
)
(i)
547
(ii)
543
(iii)
544
(iv)
542
(v)
545
Question
14
14.
If
(
a
+
b
)
=
9
,
a
b
=
18
, find
(
a
2
+
b
2
)
(i)
47
(ii)
46
(iii)
43
(iv)
45
(v)
44
Question
15
15.
If
(
a
2
+
b
2
)
=
13
,
a
b
=
6
, find
(
a
+
b
)
(i)
7
(ii)
5
(iii)
3
(iv)
6
(v)
4
Question
16
16.
If
(
a
−
b
)
=
3
,
a
b
=
18
, find
(
a
2
−
b
2
)
(i)
29
(ii)
27
(iii)
24
(iv)
28
(v)
26
Question
17
17.
If
(
a
2
−
b
2
)
=
39
,
a
b
=
40
, find
(
a
−
b
)
(i)
3
(ii)
4
(iii)
0
(iv)
2
(v)
6
Question
18
18.
If
(
3
a
+
2
b
)
=
21
,
a
b
=
15
, find
(
9
a
2
+
4
b
2
)
(i)
258
(ii)
261
(iii)
263
(iv)
262
(v)
260
Question
19
19.
If
(
16
a
2
+
16
b
2
)
=
656
,
a
b
=
20
, find
(
4
a
+
4
b
)
(i)
33
(ii)
35
(iii)
36
(iv)
37
(v)
39
Question
20
20.
If
(
a
+
b
)
=
6
,
a
b
=
8
, find
(
a
3
+
b
3
)
(i)
72
(ii)
71
(iii)
73
(iv)
74
(v)
70
Question
21
21.
If
(
a
−
b
)
=
3
,
a
b
=
18
, find
(
a
3
−
b
3
)
(i)
192
(ii)
188
(iii)
186
(iv)
190
(v)
189
Question
22
22.
If
(
3
a
+
2
b
)
=
19
,
a
b
=
10
, find
(
27
a
3
+
8
b
3
)
(i)
3438
(ii)
3436
(iii)
3442
(iv)
3440
(v)
3439
Question
23
23.
If
(
a
+
b
)
=
8
,
a
b
=
12
, find
(
a
4
+
b
4
)
(i)
1311
(ii)
1313
(iii)
1312
(iv)
1315
(v)
1309
Question
24
24.
If
(
a
4
+
b
4
)
=
3026
,
a
b
=
35
, find
(
a
+
b
)
(i)
11
(ii)
14
(iii)
13
(iv)
10
(v)
12
Question
25
25.
If
(
a
−
b
)
=
4
,
a
b
=
12
, find
(
a
4
−
b
4
)
(i)
1279
(ii)
1281
(iii)
1282
(iv)
1277
(v)
1280
Question
26
26.
If
(
2
a
+
4
b
)
=
28
,
a
b
=
24
, find
(
16
a
4
+
256
b
4
)
(i)
86273
(ii)
86275
(iii)
86271
(iv)
86270
(v)
86272
Question
27
27.
If
(
81
a
4
+
81
b
4
)
=
125712
,
a
b
=
24
, find
(
3
a
+
3
b
)
(i)
27
(ii)
29
(iii)
33
(iv)
31
(v)
30
Question
28
28.
If
(
a
+
b
+
c
)
=
19
,
(
a
2
+
b
2
+
c
2
)
=
121
, find
(
a
b
+
a
c
+
b
c
)
(i)
121
(ii)
118
(iii)
123
(iv)
119
(v)
120
Question
29
29.
If
(
a
+
b
+
c
)
=
17
,
(
a
b
+
a
c
+
b
c
)
=
94
, find
(
a
2
+
b
2
+
c
2
)
(i)
102
(ii)
100
(iii)
103
(iv)
99
(v)
101
Assignment Key
1) (v)
2) (iii)
3) (ii)
4) (v)
5) (ii)
6) (iv)
7) (i)
8) (iii)
9) (i)
10) (v)
11) (v)
12) (iii)
13) (iii)
14) (iv)
15) (ii)
16) (ii)
17) (i)
18) (ii)
19) (iii)
20) (i)
21) (v)
22) (v)
23) (iii)
24) (v)
25) (v)
26) (v)
27) (v)
28) (v)
29) (v)
