Class 8 Maths Worksheet: Algebraic Identities

Maths worksheets lesson 61: Algebraic identities · Set 469 · 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 96².
2. 2.Find the value of x² − y² when x = 10 and y = 8.
3. 3.Use (a + b)² = a² + 2ab + b² to find 98².
4. 4.Use (a + b)² = a² + 2ab + b² to find 62².
5. 5.Use (a + b)² = a² + 2ab + b² to find 81².
6. 6.If a + b = 7 and ab = 10, what is a² + b²?
7. 7.Use a² − b² = (a + b)(a − b) to find 64² − 47².
8. 8.Use a² − b² = (a + b)(a − b) to find 56² − 30².
9. 9.Use (a − b)² = a² − 2ab + b² to find 55².
10. 10.Use (a − b)² = a² − 2ab + b² to find 73².
11. 11.If a − b = 8 and ab = 9, what is a² + b²?
12. 12.Find the value of x² − 2xy + y² when x = 8 and y = 5.
13. 13.If a − b = 1 and ab = 132, what is a² + b²?
14. 14.Use (a + b)(a − b) = a² − b² to find 49 × 31.
15. 15.Use (a + b)² = a² + 2ab + b² to find 42².
16. 16.Use (a + b)(a − b) = a² − b² to find 94 × 86.
17. 17.Use a² − b² = (a + b)(a − b) to find 42² − 33².
18. 18.Use a² − b² = (a + b)(a − b) to find 22² − 16².
19. 19.Find the value of x² − 2xy + y² when x = 11 and y = 5.
20. 20.Use (a + b)² = a² + 2ab + b² to find 108².
21. 21.Use (a − b)² = a² − 2ab + b² to find 66².
22. 22.Use a² − b² = (a + b)(a − b) to find 60² − 25².
23. 23.Find the value of x² − 2xy + y² when x = 13 and y = 3.
24. 24.Find the value of x² − 2xy + y² when x = 13 and y = 4.
25. 25.Use a² − b² = (a + b)(a − b) to find 34² − 30².
26. 26.Use a² − b² = (a + b)(a − b) to find 38² − 2².
27. 27.Use (a + b)(a − b) = a² − b² to find 46 × 34.
28. 28.Find the value of x² + 2xy + y² when x = 5 and y = 4.
29. 29.Use a² − b² = (a + b)(a − b) to find 88² − 24².
30. 30.Use (a + b)² = a² + 2ab + b² to find 68².
31. 31.Use a² − b² = (a + b)(a − b) to find 30² − 17².
32. 32.Use a² − b² = (a + b)(a − b) to find 70² − 65².
33. 33.Use (a − b)² = a² − 2ab + b² to find 15².
34. 34.If a − b = 1 and ab = 12, what is a² + b²?
35. 35.Use a² − b² = (a + b)(a − b) to find 54² − 42².
36. 36.If a − b = 1 and ab = 6, what is a² + b²?
37. 37.If a − b = 5 and ab = 36, what is a² + b²?
38. 38.Use a² − b² = (a + b)(a − b) to find 50² − 30².
39. 39.Use (a − b)² = a² − 2ab + b² to find 28².
40. 40.If a + b = 23 and ab = 132, what is a² + b²?

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