Class 8 Maths Worksheet: Algebraic Identities

Maths worksheets lesson 61: Algebraic identities · Set 690 · 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 95².
2. 2.If a + b = 4 and ab = 3, what is a² + b²?
3. 3.Use (a + b)(a − b) = a² − b² to find 107 × 93.
4. 4.Use a² − b² = (a + b)(a − b) to find 53² − 18².
5. 5.Find the value of x² + 2xy + y² when x = 7 and y = 1.
6. 6.If a + b = 11 and ab = 28, what is a² + b²?
7. 7.Use a² − b² = (a + b)(a − b) to find 30² − 17².
8. 8.Use a² − b² = (a + b)(a − b) to find 56² − 54².
9. 9.Use (a + b)(a − b) = a² − b² to find 41 × 39.
10. 10.If a + b = 8 and ab = 7, what is a² + b²?
11. 11.Use (a + b)² = a² + 2ab + b² to find 82².
12. 12.Use (a + b)² = a² + 2ab + b² to find 54².
13. 13.Use a² − b² = (a + b)(a − b) to find 30² − 27².
14. 14.If a − b = 3 and ab = 28, what is a² + b²?
15. 15.Use (a + b)² = a² + 2ab + b² to find 28².
16. 16.Use a² − b² = (a + b)(a − b) to find 26² − 21².
17. 17.Use a² − b² = (a + b)(a − b) to find 28² − 10².
18. 18.If a − b = 2 and ab = 48, what is a² + b²?
19. 19.Use (a + b)(a − b) = a² − b² to find 29 × 11.
20. 20.Use (a + b)² = a² + 2ab + b² to find 52².
21. 21.Find the value of x² − y² when x = 13 and y = 2.
22. 22.Use (a + b)(a − b) = a² − b² to find 93 × 87.
23. 23.Use (a + b)² = a² + 2ab + b² to find 35².
24. 24.Use (a + b)² = a² + 2ab + b² to find 15².
25. 25.Use (a − b)² = a² − 2ab + b² to find 66².
26. 26.Find the value of x² − 2xy + y² when x = 11 and y = 6.
27. 27.Find the value of x² − y² when x = 3 and y = 2.
28. 28.Use (a − b)² = a² − 2ab + b² to find 99².
29. 29.If a − b = 8 and ab = 9, what is a² + b²?
30. 30.Find the value of x² − y² when x = 8 and y = 5.
31. 31.Use (a + b)(a − b) = a² − b² to find 36 × 24.
32. 32.Use a² − b² = (a + b)(a − b) to find 75² − 5².
33. 33.If a − b = 3 and ab = 10, what is a² + b²?
34. 34.If a − b = 1 and ab = 2, what is a² + b²?
35. 35.Use (a − b)² = a² − 2ab + b² to find 41².
36. 36.Use a² − b² = (a + b)(a − b) to find 84² − 70².
37. 37.Use (a − b)² = a² − 2ab + b² to find 27².
38. 38.Use (a + b)(a − b) = a² − b² to find 87 × 73.
39. 39.Use (a + b)² = a² + 2ab + b² to find 33².
40. 40.Use (a − b)² = a² − 2ab + b² to find 81².

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