Class 8 Maths Worksheet: Algebraic Identities

Maths worksheets lesson 61: Algebraic identities · Set 767 · 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 − y² when x = 11 and y = 3.
2. 2.Use a² − b² = (a + b)(a − b) to find 96² − 1².
3. 3.Use a² − b² = (a + b)(a − b) to find 97² − 41².
4. 4.Use (a + b)² = a² + 2ab + b² to find 92².
5. 5.Use (a + b)(a − b) = a² − b² to find 99 × 81.
6. 6.Use a² − b² = (a + b)(a − b) to find 44² − 33².
7. 7.Use (a − b)² = a² − 2ab + b² to find 52².
8. 8.Use (a + b)² = a² + 2ab + b² to find 94².
9. 9.Use (a + b)(a − b) = a² − b² to find 32 × 28.
10. 10.If a − b = 1 and ab = 56, what is a² + b²?
11. 11.Use (a + b)(a − b) = a² − b² to find 67 × 53.
12. 12.Use (a − b)² = a² − 2ab + b² to find 84².
13. 13.Use (a + b)² = a² + 2ab + b² to find 97².
14. 14.If a + b = 12 and ab = 20, what is a² + b²?
15. 15.Use a² − b² = (a + b)(a − b) to find 61² − 14².
16. 16.Use (a − b)² = a² − 2ab + b² to find 74².
17. 17.Use a² − b² = (a + b)(a − b) to find 44² − 28².
18. 18.If a + b = 6 and ab = 5, what is a² + b²?
19. 19.Use (a + b)(a − b) = a² − b² to find 51 × 49.
20. 20.Use (a − b)² = a² − 2ab + b² to find 98².
21. 21.If a − b = 2 and ab = 3, what is a² + b²?
22. 22.Use (a + b)(a − b) = a² − b² to find 24 × 16.
23. 23.If a − b = 6 and ab = 16, what is a² + b²?
24. 24.Use (a − b)² = a² − 2ab + b² to find 81².
25. 25.Use a² − b² = (a + b)(a − b) to find 44² − 27².
26. 26.Use (a + b)² = a² + 2ab + b² to find 62².
27. 27.Use (a − b)² = a² − 2ab + b² to find 17².
28. 28.Use a² − b² = (a + b)(a − b) to find 73² − 35².
29. 29.If a − b = 6 and ab = 27, what is a² + b²?
30. 30.Use (a + b)(a − b) = a² − b² to find 94 × 86.
31. 31.Use (a + b)(a − b) = a² − b² to find 61 × 59.
32. 32.Use (a − b)² = a² − 2ab + b² to find 38².
33. 33.Use a² − b² = (a + b)(a − b) to find 85² − 46².
34. 34.Use (a + b)(a − b) = a² − b² to find 56 × 44.
35. 35.If a + b = 19 and ab = 84, what is a² + b²?
36. 36.Use (a + b)² = a² + 2ab + b² to find 82².
37. 37.If a + b = 13 and ab = 12, what is a² + b²?
38. 38.If a + b = 7 and ab = 10, what is a² + b²?
39. 39.If a + b = 9 and ab = 20, what is a² + b²?
40. 40.Use (a − b)² = a² − 2ab + b² to find 73².

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