Class 8 Maths Worksheet: Algebraic Identities

Maths worksheets lesson 61: Algebraic identities · Set 601 · 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 37² − 31².
2. 2.If a + b = 13 and ab = 12, what is a² + b²?
3. 3.Use (a + b)(a − b) = a² − b² to find 76 × 64.
4. 4.If a + b = 12 and ab = 32, what is a² + b²?
5. 5.Use (a + b)(a − b) = a² − b² to find 23 × 17.
6. 6.Use (a + b)² = a² + 2ab + b² to find 71².
7. 7.Use (a + b)(a − b) = a² − b² to find 55 × 45.
8. 8.Find the value of x² − y² when x = 4 and y = 1.
9. 9.Use (a − b)² = a² − 2ab + b² to find 15².
10. 10.Use (a + b)(a − b) = a² − b² to find 36 × 24.
11. 11.Find the value of x² + 2xy + y² when x = 7 and y = 5.
12. 12.Use (a + b)² = a² + 2ab + b² to find 27².
13. 13.Use (a + b)(a − b) = a² − b² to find 52 × 48.
14. 14.Use (a + b)(a − b) = a² − b² to find 44 × 36.
15. 15.Use (a + b)(a − b) = a² − b² to find 105 × 95.
16. 16.Use (a + b)² = a² + 2ab + b² to find 79².
17. 17.Use a² − b² = (a + b)(a − b) to find 64² − 19².
18. 18.If a − b = 6 and ab = 27, what is a² + b²?
19. 19.Use a² − b² = (a + b)(a − b) to find 38² − 10².
20. 20.Use (a + b)² = a² + 2ab + b² to find 48².
21. 21.Use (a + b)² = a² + 2ab + b² to find 13².
22. 22.Find the value of x² − 2xy + y² when x = 13 and y = 12.
23. 23.Use (a + b)(a − b) = a² − b² to find 46 × 34.
24. 24.If a + b = 5 and ab = 6, what is a² + b²?
25. 25.Find the value of x² − y² when x = 3 and y = 1.
26. 26.Use a² − b² = (a + b)(a − b) to find 35² − 1².
27. 27.Use (a + b)(a − b) = a² − b² to find 39 × 21.
28. 28.Use a² − b² = (a + b)(a − b) to find 98² − 59².
29. 29.Use a² − b² = (a + b)(a − b) to find 47² − 21².
30. 30.If a − b = 3 and ab = 28, what is a² + b²?
31. 31.Use (a − b)² = a² − 2ab + b² to find 33².
32. 32.Use a² − b² = (a + b)(a − b) to find 30² − 29².
33. 33.Use (a + b)² = a² + 2ab + b² to find 106².
34. 34.Use (a − b)² = a² − 2ab + b² to find 29².
35. 35.If a − b = 11 and ab = 12, what is a² + b²?
36. 36.Use a² − b² = (a + b)(a − b) to find 80² − 58².
37. 37.If a + b = 3 and ab = 2, what is a² + b²?
38. 38.Use a² − b² = (a + b)(a − b) to find 32² − 22².
39. 39.If a − b = 2 and ab = 35, what is a² + b²?
40. 40.Use a² − b² = (a + b)(a − b) to find 44² − 36².

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