Class 8 Maths Worksheet: Algebraic Identities

Maths worksheets lesson 61: Algebraic identities · Set 504 · 40 sums

The method (Split into easy parts): (a + b)² = a² + 2ab + b². (a − b)² = a² − 2ab + b². (a + b)(a − b) = a² − b²; so a² − b² = (a + b)(a − b). a² + b² = (a + b)² − 2ab = (a − b)² + 2ab.

1. 1.Find the value of x² − 2xy + y² when x = 4 and y = 2.
2. 2.Use a² − b² = (a + b)(a − b) to find 90² − 79².
3. 3.Use (a + b)(a − b) = a² − b² to find 35 × 25.
4. 4.Use (a − b)² = a² − 2ab + b² to find 97².
5. 5.If a + b = 14 and ab = 45, what is a² + b²?
6. 6.Use (a − b)² = a² − 2ab + b² to find 47².
7. 7.Use (a + b)² = a² + 2ab + b² to find 73².
8. 8.Use a² − b² = (a + b)(a − b) to find 36² − 11².
9. 9.Use (a + b)² = a² + 2ab + b² to find 14².
10. 10.Use a² − b² = (a + b)(a − b) to find 21² − 13².
11. 11.Use (a − b)² = a² − 2ab + b² to find 28².
12. 12.Use a² − b² = (a + b)(a − b) to find 30² − 4².
13. 13.Use a² − b² = (a + b)(a − b) to find 76² − 71².
14. 14.Use a² − b² = (a + b)(a − b) to find 52² − 45².
15. 15.Find the value of x² − 2xy + y² when x = 7 and y = 1.
16. 16.Use (a + b)² = a² + 2ab + b² to find 26².
17. 17.Use (a + b)² = a² + 2ab + b² to find 95².
18. 18.If a + b = 13 and ab = 12, what is a² + b²?
19. 19.Use a² − b² = (a + b)(a − b) to find 20² − 14².
20. 20.Use (a + b)(a − b) = a² − b² to find 101 × 99.
21. 21.Find the value of x² − y² when x = 13 and y = 12.
22. 22.Use (a − b)² = a² − 2ab + b² to find 69².
23. 23.Use (a − b)² = a² − 2ab + b² to find 71².
24. 24.Find the value of x² + 2xy + y² when x = 15 and y = 1.
25. 25.Use (a − b)² = a² − 2ab + b² to find 88².
26. 26.Use (a + b)² = a² + 2ab + b² to find 78².
27. 27.Use (a − b)² = a² − 2ab + b² to find 13².
28. 28.Use (a + b)² = a² + 2ab + b² to find 102².
29. 29.Use (a + b)(a − b) = a² − b² to find 31 × 29.
30. 30.Use (a + b)² = a² + 2ab + b² to find 49².
31. 31.Use a² − b² = (a + b)(a − b) to find 27² − 20².
32. 32.Use a² − b² = (a + b)(a − b) to find 87² − 58².
33. 33.Use (a + b)² = a² + 2ab + b² to find 11².
34. 34.Use (a + b)² = a² + 2ab + b² to find 103².
35. 35.Use a² − b² = (a + b)(a − b) to find 94² − 81².
36. 36.Use (a + b)² = a² + 2ab + b² to find 54².
37. 37.Use a² − b² = (a + b)(a − b) to find 99² − 49².
38. 38.Find the value of x² + 2xy + y² when x = 4 and y = 2.
39. 39.Find the value of x² + 2xy + y² when x = 10 and y = 1.
40. 40.Use (a − b)² = a² − 2ab + b² to find 63².

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