Class 8 Maths Worksheet: Algebraic Identities

Maths worksheets lesson 61: Algebraic identities · Set 268 · 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 = 4 and y = 1.
3. 3.Use (a + b)(a − b) = a² − b² to find 77 × 63.
4. 4.Use (a + b)(a − b) = a² − b² to find 108 × 92.
5. 5.Use (a + b)(a − b) = a² − b² to find 87 × 73.
6. 6.Use (a + b)(a − b) = a² − b² to find 95 × 85.
7. 7.Use (a + b)² = a² + 2ab + b² to find 106².
8. 8.Use (a + b)² = a² + 2ab + b² to find 44².
9. 9.If a − b = 1 and ab = 2, what is a² + b²?
10. 10.Use (a + b)² = a² + 2ab + b² to find 97².
11. 11.Use a² − b² = (a + b)(a − b) to find 20² − 3².
12. 12.Use (a − b)² = a² − 2ab + b² to find 28².
13. 13.Use a² − b² = (a + b)(a − b) to find 66² − 13².
14. 14.Find the value of x² + 2xy + y² when x = 7 and y = 1.
15. 15.Use (a − b)² = a² − 2ab + b² to find 65².
16. 16.Use a² − b² = (a + b)(a − b) to find 47² − 10².
17. 17.Use a² − b² = (a + b)(a − b) to find 65² − 15².
18. 18.Use (a − b)² = a² − 2ab + b² to find 94².
19. 19.Use a² − b² = (a + b)(a − b) to find 22² − 14².
20. 20.Use (a + b)² = a² + 2ab + b² to find 105².
21. 21.Use a² − b² = (a + b)(a − b) to find 84² − 45².
22. 22.Use (a + b)² = a² + 2ab + b² to find 18².
23. 23.Use (a + b)(a − b) = a² − b² to find 98 × 82.
24. 24.If a + b = 14 and ab = 45, what is a² + b²?
25. 25.Use (a − b)² = a² − 2ab + b² to find 38².
26. 26.Use (a + b)² = a² + 2ab + b² to find 26².
27. 27.Use (a + b)(a − b) = a² − b² to find 32 × 28.
28. 28.Use (a + b)(a − b) = a² − b² to find 51 × 49.
29. 29.Find the value of x² + 2xy + y² when x = 8 and y = 2.
30. 30.Use (a + b)(a − b) = a² − b² to find 59 × 41.
31. 31.Use (a + b)² = a² + 2ab + b² to find 61².
32. 32.Use (a + b)² = a² + 2ab + b² to find 71².
33. 33.Use (a + b)² = a² + 2ab + b² to find 82².
34. 34.Use a² − b² = (a + b)(a − b) to find 99² − 28².
35. 35.Use (a + b)² = a² + 2ab + b² to find 73².
36. 36.Find the value of x² + 2xy + y² when x = 11 and y = 2.
37. 37.Use (a + b)(a − b) = a² − b² to find 48 × 32.
38. 38.Find the value of x² − 2xy + y² when x = 14 and y = 10.
39. 39.Use (a + b)² = a² + 2ab + b² to find 37².
40. 40.Find the value of x² − y² when x = 12 and y = 4.

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