EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Special Products As Identities
Grade : ICSE Grade VII
License : Non Commercial Use
Question
1
1.
(
−
2
3
a
+
3
2
b
)
(
4
9
a
2
+
a
b
+
9
4
b
2
)
(i)
(
−
8
27
a
3
+
27
8
b
3
)
(ii)
(
−
8
27
a
3
+
25
8
b
3
)
(iii)
(
−
8
25
a
3
+
27
8
b
3
)
(iv)
(
−
8
29
a
3
+
27
8
b
3
)
(v)
(
−
8
27
a
3
+
29
8
b
3
)
Question
2
2.
The value of
302
✕
303
is
(i)
91505
(ii)
91508
(iii)
91506
(iv)
91507
(v)
91504
Question
3
3.
(
−
4
a
−
2
b
)
(
16
a
2
−
8
a
b
+
4
b
2
)
(i)
(
−
65
a
3
−
8
b
3
)
(ii)
(
−
64
a
3
−
11
b
3
)
(iii)
(
−
63
a
3
−
8
b
3
)
(iv)
(
−
64
a
3
−
8
b
3
)
(v)
(
−
64
a
3
−
6
b
3
)
Question
4
4.
Evaluate :
995
2
−
5
2
(i)
99000
(ii)
990005
(iii)
990995
(iv)
9900000
(v)
990000
Question
5
5.
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)
4
x
5
+
7
x
+
4
x
3
+
7
x
+
3
x
3
+
3
x
5
(iv)
−
x
−
2
x
3
−
1
x
7
Question
6
6.
(
2
a
−
3
b
)
2
(i)
(
4
a
2
−
10
a
b
+
9
b
2
)
(ii)
(
5
a
2
−
12
a
b
+
9
b
2
)
(iii)
(
4
a
2
−
15
a
b
+
9
b
2
)
(iv)
(
4
a
2
−
12
a
b
+
9
b
2
)
(v)
(
3
a
2
−
12
a
b
+
9
b
2
)
Question
7
7.
Expand
(
x
−
1
x
)
2
(i)
x
2
−
2
+
1
x
3
(ii)
x
2
−
2
+
1
x
2
(iii)
x
3
−
2
+
1
x
2
(iv)
x
2
+
1
+
1
x
2
(v)
x
2
−
5
+
1
x
2
Question
8
8.
The value of
11
1
3
✕
9
1
4
is
(i)
104
5
6
(ii)
105
1
4
(iii)
105
1
6
(iv)
104
5
8
(v)
104
1
2
Question
9
9.
(
4
a
−
2
b
)
2
(i)
(
16
a
2
−
13
a
b
+
4
b
2
)
(ii)
(
17
a
2
−
16
a
b
+
4
b
2
)
(iii)
(
16
a
2
−
16
a
b
+
4
b
2
)
(iv)
(
15
a
2
−
16
a
b
+
4
b
2
)
(v)
(
16
a
2
−
19
a
b
+
4
b
2
)
Question
10
10.
The value of
395
✕
396
is
(i)
156419
(ii)
156418
(iii)
156423
(iv)
156421
(v)
156420
Question
11
11.
(
−
4
a
+
4
b
+
c
)
(
16
a
2
+
16
a
b
+
4
a
c
+
16
b
2
−
4
b
c
+
c
2
)
(i)
(
−
64
a
3
+
45
a
b
c
+
64
b
3
+
c
3
)
(ii)
(
−
65
a
3
+
48
a
b
c
+
64
b
3
+
c
3
)
(iii)
(
−
64
a
3
+
50
a
b
c
+
64
b
3
+
c
3
)
(iv)
(
−
63
a
3
+
48
a
b
c
+
64
b
3
+
c
3
)
(v)
(
−
64
a
3
+
48
a
b
c
+
64
b
3
+
c
3
)
Question
12
12.
If
(
5
x
−
1
3
x
)
=
2
,
find the value of
(
25
x
2
+
1
9
x
2
)
(i)
8
(ii)
36
5
(iii)
22
3
(iv)
20
3
Question
13
13.
Expand
(
x
+
1
x
)
2
(i)
x
+
2
+
1
x
2
(ii)
x
2
+
2
+
1
x
2
(iii)
−
x
2
+
2
+
1
x
2
(iv)
x
2
+
2
+
1
x
(v)
x
2
+
2
+
3
x
2
Question
14
14.
The value of
89
✕
89
is
(i)
7922
(ii)
7918
(iii)
7924
(iv)
7921
(v)
7920
Question
15
15.
(
a
+
b
+
c
)
(
a
2
−
a
b
−
a
c
+
b
2
−
b
c
+
c
2
)
(i)
(
a
3
−
3
a
b
c
+
b
3
+
c
3
)
(ii)
(
a
3
−
5
a
b
c
+
b
3
+
c
3
)
(iii)
(
2
a
3
−
3
a
b
c
+
b
3
+
c
3
)
(iv)
(
a
3
−
a
b
c
+
b
3
+
c
3
)
(v)
(
−
3
a
b
c
+
b
3
+
c
3
)
Question
16
16.
(
a
+
b
)
(
a
2
−
a
b
+
b
2
)
(i)
(
2
a
3
+
b
3
)
(ii)
(
a
3
+
3
b
3
)
(iii)
b
3
(iv)
(
a
3
−
2
b
3
)
(v)
(
a
3
+
b
3
)
Question
17
17.
If
(
4
a
+
2
b
)
=
32
,
a
b
=
24
, find
(
256
a
4
+
16
b
4
)
(i)
335872
(ii)
335875
(iii)
335869
(iv)
335871
(v)
335873
Question
18
18.
If
(
x
+
1
x
)
=
8
,
find the value of
(
x
2
+
1
x
2
)
(i)
61
(ii)
64
(iii)
62
(iv)
63
(v)
60
Question
19
19.
(
−
3
a
+
5
b
)
(
−
3
a
−
5
b
)
(i)
(
9
a
2
−
27
b
2
)
(ii)
(
9
a
2
−
22
b
2
)
(iii)
(
9
a
2
−
25
b
2
)
(iv)
(
10
a
2
−
25
b
2
)
(v)
(
8
a
2
−
25
b
2
)
Question
20
20.
If
(
4
x
+
1
2
x
)
=
2
,
find the value of
(
16
x
2
+
1
4
x
2
)
(i)
0
(ii)
1
(iii)
-2
(iv)
2
(v)
-1
Question
21
21.
(
−
3
a
−
3
b
+
3
2
c
)
(
9
a
2
−
9
a
b
+
9
2
a
c
+
9
b
2
+
9
2
b
c
+
9
4
c
2
)
(i)
(
−
27
a
3
−
79
2
a
b
c
−
27
b
3
+
27
8
c
3
)
(ii)
(
−
28
a
3
−
81
2
a
b
c
−
27
b
3
+
27
8
c
3
)
(iii)
(
−
26
a
3
−
81
2
a
b
c
−
27
b
3
+
27
8
c
3
)
(iv)
(
−
27
a
3
−
83
2
a
b
c
−
27
b
3
+
27
8
c
3
)
(v)
(
−
27
a
3
−
81
2
a
b
c
−
27
b
3
+
27
8
c
3
)
Question
22
22.
The value of
58
✕
48
is
(i)
2787
(ii)
2785
(iii)
2783
(iv)
2784
(v)
2782
Question
23
23.
(
a
−
b
)
(
a
2
+
a
b
+
b
2
)
(i)
(
a
3
−
b
3
)
(ii)
(
2
a
3
−
b
3
)
(iii)
(
a
3
−
4
b
3
)
(iv)
(
−
b
3
)
(v)
(
a
3
+
b
3
)
Question
24
24.
If
(
a
+
b
)
=
10
,
a
b
=
24
, find
(
a
4
+
b
4
)
(i)
1555
(ii)
1551
(iii)
1552
(iv)
1549
(v)
1553
Question
25
25.
If
(
x
−
1
x
)
=
9
,
find the value of
(
x
4
+
1
x
4
)
(i)
6885
(ii)
6886
(iii)
6888
(iv)
6887
(v)
6890
Assignment Key
1) (i)
2) (iii)
3) (iv)
4) (v)
5) (ii)
6) (iv)
7) (ii)
8) (i)
9) (iii)
10) (v)
11) (v)
12) (iii)
13) (ii)
14) (iv)
15) (i)
16) (v)
17) (i)
18) (iii)
19) (iii)
20) (i)
21) (v)
22) (iv)
23) (i)
24) (iii)
25) (iv)
