Class 8 Maths Worksheet: Algebraic Identities

Maths worksheets lesson 61: Algebraic identities · Set 548 · 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.Use (a + b)² = a² + 2ab + b² to find 92².
2. 2.Use a² − b² = (a + b)(a − b) to find 96² − 20².
3. 3.Use (a + b)(a − b) = a² − b² to find 84 × 76.
4. 4.Use (a + b)(a − b) = a² − b² to find 77 × 63.
5. 5.Use a² − b² = (a + b)(a − b) to find 87² − 64².
6. 6.Use a² − b² = (a + b)(a − b) to find 53² − 35².
7. 7.Find the value of x² − y² when x = 9 and y = 1.
8. 8.Use a² − b² = (a + b)(a − b) to find 26² − 7².
9. 9.Use (a − b)² = a² − 2ab + b² to find 85².
10. 10.Use (a − b)² = a² − 2ab + b² to find 28².
11. 11.If a − b = 7 and ab = 60, what is a² + b²?
12. 12.If a + b = 7 and ab = 10, what is a² + b²?
13. 13.If a − b = 1 and ab = 6, what is a² + b²?
14. 14.Use (a − b)² = a² − 2ab + b² to find 51².
15. 15.If a + b = 11 and ab = 24, what is a² + b²?
16. 16.Use (a + b)² = a² + 2ab + b² to find 95².
17. 17.Use (a − b)² = a² − 2ab + b² to find 16².
18. 18.Use a² − b² = (a + b)(a − b) to find 64² − 63².
19. 19.If a + b = 15 and ab = 56, what is a² + b²?
20. 20.Use (a − b)² = a² − 2ab + b² to find 39².
21. 21.Find the value of x² − y² when x = 12 and y = 2.
22. 22.Use a² − b² = (a + b)(a − b) to find 63² − 11².
23. 23.Use (a + b)² = a² + 2ab + b² to find 72².
24. 24.Use (a − b)² = a² − 2ab + b² to find 63².
25. 25.Use (a + b)² = a² + 2ab + b² to find 97².
26. 26.If a − b = 4 and ab = 60, what is a² + b²?
27. 27.Use (a + b)² = a² + 2ab + b² to find 104².
28. 28.Use (a − b)² = a² − 2ab + b² to find 93².
29. 29.Use (a − b)² = a² − 2ab + b² to find 68².
30. 30.Use a² − b² = (a + b)(a − b) to find 88² − 69².
31. 31.Use (a − b)² = a² − 2ab + b² to find 24².
32. 32.Use (a + b)(a − b) = a² − b² to find 98 × 82.
33. 33.Use (a + b)² = a² + 2ab + b² to find 49².
34. 34.Use (a + b)(a − b) = a² − b² to find 21 × 19.
35. 35.Use (a + b)(a − b) = a² − b² to find 69 × 51.
36. 36.If a + b = 10 and ab = 9, what is a² + b²?
37. 37.Use a² − b² = (a + b)(a − b) to find 69² − 67².
38. 38.Use (a + b)(a − b) = a² − b² to find 46 × 34.
39. 39.Use (a + b)² = a² + 2ab + b² to find 68².
40. 40.Use (a + b)(a − b) = a² − b² to find 38 × 22.

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