Class 8 Maths Worksheet: Algebraic Identities

Maths worksheets lesson 61: Algebraic identities · Set 182 · 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.If a − b = 5 and ab = 6, what is a² + b²?
2. 2.Use (a + b)(a − b) = a² − b² to find 77 × 63.
3. 3.Use (a + b)² = a² + 2ab + b² to find 36².
4. 4.Use a² − b² = (a + b)(a − b) to find 95² − 69².
5. 5.If a − b = 3 and ab = 4, what is a² + b²?
6. 6.If a − b = 10 and ab = 11, what is a² + b²?
7. 7.Use (a − b)² = a² − 2ab + b² to find 31².
8. 8.Use (a − b)² = a² − 2ab + b² to find 23².
9. 9.Use (a + b)(a − b) = a² − b² to find 67 × 53.
10. 10.Find the value of x² + 2xy + y² when x = 6 and y = 1.
11. 11.Use a² − b² = (a + b)(a − b) to find 32² − 22².
12. 12.Use (a − b)² = a² − 2ab + b² to find 84².
13. 13.If a + b = 11 and ab = 30, what is a² + b²?
14. 14.Use (a + b)(a − b) = a² − b² to find 46 × 34.
15. 15.If a − b = 9 and ab = 36, what is a² + b²?
16. 16.If a + b = 13 and ab = 40, what is a² + b²?
17. 17.Use a² − b² = (a + b)(a − b) to find 80² − 15².
18. 18.Use (a + b)² = a² + 2ab + b² to find 27².
19. 19.Use (a + b)(a − b) = a² − b² to find 63 × 57.
20. 20.Use (a + b)(a − b) = a² − b² to find 76 × 64.
21. 21.Use (a + b)² = a² + 2ab + b² to find 101².
22. 22.Use (a − b)² = a² − 2ab + b² to find 75².
23. 23.Find the value of x² − 2xy + y² when x = 12 and y = 6.
24. 24.Use (a + b)² = a² + 2ab + b² to find 21².
25. 25.Use a² − b² = (a + b)(a − b) to find 84² − 3².
26. 26.Use (a + b)² = a² + 2ab + b² to find 95².
27. 27.If a + b = 5 and ab = 6, what is a² + b²?
28. 28.Find the value of x² − y² when x = 9 and y = 8.
29. 29.Use (a + b)² = a² + 2ab + b² to find 105².
30. 30.Use a² − b² = (a + b)(a − b) to find 84² − 10².
31. 31.Use (a + b)(a − b) = a² − b² to find 44 × 36.
32. 32.If a + b = 3 and ab = 2, what is a² + b²?
33. 33.Use (a − b)² = a² − 2ab + b² to find 71².
34. 34.Use a² − b² = (a + b)(a − b) to find 74² − 72².
35. 35.Use (a + b)² = a² + 2ab + b² to find 93².
36. 36.If a − b = 4 and ab = 12, what is a² + b²?
37. 37.Use (a + b)² = a² + 2ab + b² to find 37².
38. 38.Use (a + b)² = a² + 2ab + b² to find 33².
39. 39.Find the value of x² − y² when x = 10 and y = 6.
40. 40.Find the value of x² + 2xy + y² when x = 11 and y = 6.

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