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CBSE Class 8 Maths Worksheet

Algebraic Expressions And Identities - What is an identity?

1.

Simplify: (7m – 8n)2 + (7m + 8n)2

2.

Use a suitable identity to get the product: (h + 3) (h + 3)

3.

Simplify: (2h + 5)2 – (2h – 5)2

4.

Simplify: (4m + 5n)2 + (5m + 4n)2

5.

Use a suitable identity to get the product: (2y + 5) (2y + 5)

6.

Show that: (9p – 5q)2 + 180pq = (9p + 5q)2

7.
Show that: (4pq + 3q)2 – (4pq – 3q)2 = 48pq2
8.

Show that: (3h + 7)2 – 84h = (3h – 7)2

9.

Use a suitable identity to get the product: (– a + c) (– a + c)

10.

Show that: (4pq + 3q)2 – (4pq – 3q)2 = 48pq2

11.

Use a suitable identity to get the product: (7a – 9b) (7a – 9b)

12.

Use a suitable identity to get the product: (2a – 7) (2a – 7)

13.
Use a suitable identity to get the product: (6h – 7) (6h + 7)
14.

Show that: (a – b) (a + b) + (b – c) (b + c) + (c – a) (c + a) = 0

15.

Simplify: (2.5p – 1.5q)2 – (1.5p – 2.5q)2

16.
Use a suitable identity to get the product: (7a – 9b) (7a – 9b)
17.
Use a suitable identity to get the product: (– a + c) (– a + c)
18.
Simplify: (7m – 8n)2 + (7m + 8n)2
19.
Simplify: (2h + 5)2 – (2h – 5)2
20.

Use a suitable identity to get the product: (1.1m – 0.4) (1.1m + 0.4)

CBSE Class 8 Maths Worksheet

Algebraic Expressions And Identities - What is an identity?

Answers

1.

98m2 + 128n2

2.

h2 + 6h + 9

3.

40h

4.

41m2 + 80mn + 41n2

5.

4y2 + 20y + 25

6.

To be proved

7.
to be proved
8.

To be proved

9.

a2 – 2ac + c 2

10.

To be proved

11.

49a2 – 126ab + 81b2

12.

4a2 – 28a + 49

13.
36h 2 – 49
14.

To be proved

15.

4p2 – 4q2

16.
49a 2 – 126ab + 81b 2
17.
a 2 – 2ac + c 2
18.
98m2 + 128n 2
19.
40h
20.

1.21m2 – 0.16

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