Class 8 Maths Worksheet: Algebraic Identities

Maths worksheets lesson 61: Algebraic identities · Set 675 · 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 84².
2. 2.Use (a − b)² = a² − 2ab + b² to find 13².
3. 3.Use (a − b)² = a² − 2ab + b² to find 23².
4. 4.Find the value of x² − 2xy + y² when x = 13 and y = 9.
5. 5.Use (a − b)² = a² − 2ab + b² to find 39².
6. 6.Use (a + b)² = a² + 2ab + b² to find 101².
7. 7.Use (a + b)² = a² + 2ab + b² to find 24².
8. 8.Use a² − b² = (a + b)(a − b) to find 78² − 10².
9. 9.If a − b = 5 and ab = 66, what is a² + b²?
10. 10.If a + b = 14 and ab = 45, what is a² + b²?
11. 11.Use (a + b)² = a² + 2ab + b² to find 56².
12. 12.Find the value of x² + 2xy + y² when x = 6 and y = 5.
13. 13.Find the value of x² − y² when x = 5 and y = 4.
14. 14.Use a² − b² = (a + b)(a − b) to find 25² − 5².
15. 15.Use (a − b)² = a² − 2ab + b² to find 56².
16. 16.If a + b = 11 and ab = 18, what is a² + b²?
17. 17.Use (a + b)² = a² + 2ab + b² to find 23².
18. 18.Use (a + b)² = a² + 2ab + b² to find 76².
19. 19.Find the value of x² − y² when x = 11 and y = 2.
20. 20.If a + b = 10 and ab = 9, what is a² + b²?
21. 21.Use (a + b)² = a² + 2ab + b² to find 37².
22. 22.Use (a + b)(a − b) = a² − b² to find 61 × 59.
23. 23.Use (a + b)(a − b) = a² − b² to find 103 × 97.
24. 24.Use (a − b)² = a² − 2ab + b² to find 18².
25. 25.Use (a + b)² = a² + 2ab + b² to find 96².
26. 26.Use (a − b)² = a² − 2ab + b² to find 74².
27. 27.Find the value of x² − 2xy + y² when x = 7 and y = 1.
28. 28.Use a² − b² = (a + b)(a − b) to find 42² − 37².
29. 29.Use (a + b)² = a² + 2ab + b² to find 53².
30. 30.Use (a + b)² = a² + 2ab + b² to find 16².
31. 31.Use a² − b² = (a + b)(a − b) to find 97² − 24².
32. 32.Use (a − b)² = a² − 2ab + b² to find 82².
33. 33.Use a² − b² = (a + b)(a − b) to find 50² − 31².
34. 34.If a + b = 3 and ab = 2, what is a² + b²?
35. 35.Find the value of x² − y² when x = 9 and y = 6.
36. 36.Use (a − b)² = a² − 2ab + b² to find 66².
37. 37.Find the value of x² − 2xy + y² when x = 15 and y = 10.
38. 38.Use a² − b² = (a + b)(a − b) to find 98² − 40².
39. 39.If a + b = 12 and ab = 32, what is a² + b²?
40. 40.If a + b = 8 and ab = 15, what is a² + b²?

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