Class 8 Maths Worksheet: Algebraic Identities

Maths worksheets lesson 61: Algebraic identities · Set 934 · 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 76².
2. 2.Use (a − b)² = a² − 2ab + b² to find 43².
3. 3.Use (a + b)² = a² + 2ab + b² to find 104².
4. 4.Use (a − b)² = a² − 2ab + b² to find 13².
5. 5.Use (a + b)² = a² + 2ab + b² to find 86².
6. 6.Use a² − b² = (a + b)(a − b) to find 37² − 3².
7. 7.Use (a + b)(a − b) = a² − b² to find 109 × 91.
8. 8.Use a² − b² = (a + b)(a − b) to find 98² − 60².
9. 9.Use (a − b)² = a² − 2ab + b² to find 14².
10. 10.If a − b = 5 and ab = 84, what is a² + b²?
11. 11.Use a² − b² = (a + b)(a − b) to find 79² − 61².
12. 12.Use (a − b)² = a² − 2ab + b² to find 83².
13. 13.Use (a + b)² = a² + 2ab + b² to find 14².
14. 14.If a − b = 5 and ab = 36, what is a² + b²?
15. 15.Use (a − b)² = a² − 2ab + b² to find 96².
16. 16.If a − b = 1 and ab = 6, what is a² + b²?
17. 17.Use (a − b)² = a² − 2ab + b² to find 56².
18. 18.Use (a − b)² = a² − 2ab + b² to find 52².
19. 19.Use (a − b)² = a² − 2ab + b² to find 68².
20. 20.Use (a + b)(a − b) = a² − b² to find 82 × 78.
21. 21.Use (a + b)² = a² + 2ab + b² to find 76².
22. 22.Find the value of x² − y² when x = 12 and y = 2.
23. 23.Use (a + b)² = a² + 2ab + b² to find 66².
24. 24.Use a² − b² = (a + b)(a − b) to find 27² − 5².
25. 25.Use (a + b)(a − b) = a² − b² to find 105 × 95.
26. 26.Use (a − b)² = a² − 2ab + b² to find 47².
27. 27.Use (a + b)² = a² + 2ab + b² to find 78².
28. 28.If a − b = 1 and ab = 30, what is a² + b²?
29. 29.If a + b = 3 and ab = 2, what is a² + b²?
30. 30.If a − b = 1 and ab = 12, what is a² + b²?
31. 31.Use (a + b)² = a² + 2ab + b² to find 51².
32. 32.Find the value of x² − 2xy + y² when x = 3 and y = 2.
33. 33.If a + b = 5 and ab = 6, what is a² + b²?
34. 34.If a + b = 8 and ab = 15, what is a² + b²?
35. 35.Use (a + b)² = a² + 2ab + b² to find 15².
36. 36.Use a² − b² = (a + b)(a − b) to find 20² − 7².
37. 37.Find the value of x² − y² when x = 6 and y = 2.
38. 38.Use (a + b)² = a² + 2ab + b² to find 107².
39. 39.Find the value of x² − y² when x = 5 and y = 4.
40. 40.Find the value of x² + 2xy + y² when x = 9 and y = 3.

Free maths worksheets lessons, practice and worksheets at talentjr.in/maths-worksheets