Class 8 Maths Worksheet: Algebraic Identities

Maths worksheets lesson 61: Algebraic identities · Set 723 · 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 a² − b² = (a + b)(a − b) to find 94² − 66².
2. 2.Find the value of x² − y² when x = 11 and y = 3.
3. 3.Find the value of x² + 2xy + y² when x = 4 and y = 2.
4. 4.Use a² − b² = (a + b)(a − b) to find 75² − 5².
5. 5.Use (a + b)(a − b) = a² − b² to find 52 × 48.
6. 6.Use (a + b)² = a² + 2ab + b² to find 23².
7. 7.Use (a + b)(a − b) = a² − b² to find 43 × 37.
8. 8.Use (a − b)² = a² − 2ab + b² to find 14².
9. 9.Find the value of x² − y² when x = 14 and y = 7.
10. 10.Use a² − b² = (a + b)(a − b) to find 44² − 23².
11. 11.Use (a − b)² = a² − 2ab + b² to find 44².
12. 12.Use (a + b)(a − b) = a² − b² to find 26 × 14.
13. 13.Use (a + b)² = a² + 2ab + b² to find 11².
14. 14.Find the value of x² + 2xy + y² when x = 15 and y = 9.
15. 15.Use (a + b)² = a² + 2ab + b² to find 36².
16. 16.Use (a + b)² = a² + 2ab + b² to find 106².
17. 17.Use a² − b² = (a + b)(a − b) to find 20² − 7².
18. 18.Find the value of x² + 2xy + y² when x = 5 and y = 3.
19. 19.Use a² − b² = (a + b)(a − b) to find 73² − 53².
20. 20.Use (a − b)² = a² − 2ab + b² to find 19².
21. 21.Use a² − b² = (a + b)(a − b) to find 61² − 40².
22. 22.Use a² − b² = (a + b)(a − b) to find 47² − 5².
23. 23.Use (a − b)² = a² − 2ab + b² to find 96².
24. 24.Use a² − b² = (a + b)(a − b) to find 20² − 1².
25. 25.Find the value of x² − y² when x = 12 and y = 5.
26. 26.Use (a − b)² = a² − 2ab + b² to find 72².
27. 27.Use (a + b)(a − b) = a² − b² to find 57 × 43.
28. 28.Use a² − b² = (a + b)(a − b) to find 92² − 83².
29. 29.Use a² − b² = (a + b)(a − b) to find 76² − 53².
30. 30.Use (a + b)(a − b) = a² − b² to find 63 × 57.
31. 31.Use (a + b)² = a² + 2ab + b² to find 28².
32. 32.If a − b = 5 and ab = 6, what is a² + b²?
33. 33.Use a² − b² = (a + b)(a − b) to find 37² − 27².
34. 34.Use a² − b² = (a + b)(a − b) to find 26² − 15².
35. 35.Use (a + b)(a − b) = a² − b² to find 61 × 59.
36. 36.Use (a − b)² = a² − 2ab + b² to find 27².
37. 37.Use (a − b)² = a² − 2ab + b² to find 57².
38. 38.Use a² − b² = (a + b)(a − b) to find 55² − 30².
39. 39.Use (a − b)² = a² − 2ab + b² to find 12².
40. 40.Find the value of x² − 2xy + y² when x = 12 and y = 5.

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