Class 8 Maths Worksheet: Algebraic Identities

Maths worksheets lesson 61: Algebraic identities · Set 531 · 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.Find the value of x² − y² when x = 7 and y = 5.
2. 2.Use (a − b)² = a² − 2ab + b² to find 81².
3. 3.Use (a + b)² = a² + 2ab + b² to find 99².
4. 4.If a + b = 7 and ab = 12, what is a² + b²?
5. 5.Use (a + b)(a − b) = a² − b² to find 45 × 35.
6. 6.If a − b = 1 and ab = 6, what is a² + b²?
7. 7.Use (a − b)² = a² − 2ab + b² to find 56².
8. 8.Use a² − b² = (a + b)(a − b) to find 68² − 5².
9. 9.Use (a − b)² = a² − 2ab + b² to find 31².
10. 10.Use (a + b)² = a² + 2ab + b² to find 24².
11. 11.Find the value of x² + 2xy + y² when x = 6 and y = 1.
12. 12.Find the value of x² − y² when x = 11 and y = 9.
13. 13.If a + b = 11 and ab = 18, what is a² + b²?
14. 14.Use (a − b)² = a² − 2ab + b² to find 27².
15. 15.Use (a + b)(a − b) = a² − b² to find 41 × 39.
16. 16.Use (a + b)² = a² + 2ab + b² to find 74².
17. 17.Use (a + b)² = a² + 2ab + b² to find 21².
18. 18.Use (a − b)² = a² − 2ab + b² to find 25².
19. 19.Use (a + b)² = a² + 2ab + b² to find 93².
20. 20.Use (a + b)² = a² + 2ab + b² to find 56².
21. 21.Use (a + b)² = a² + 2ab + b² to find 105².
22. 22.Use (a − b)² = a² − 2ab + b² to find 85².
23. 23.Use a² − b² = (a + b)(a − b) to find 50² − 36².
24. 24.Use (a − b)² = a² − 2ab + b² to find 97².
25. 25.Use a² − b² = (a + b)(a − b) to find 65² − 11².
26. 26.Use (a − b)² = a² − 2ab + b² to find 82².
27. 27.Use (a − b)² = a² − 2ab + b² to find 24².
28. 28.If a + b = 8 and ab = 15, what is a² + b²?
29. 29.Use (a + b)² = a² + 2ab + b² to find 37².
30. 30.Use (a − b)² = a² − 2ab + b² to find 44².
31. 31.If a + b = 9 and ab = 14, what is a² + b²?
32. 32.Use (a − b)² = a² − 2ab + b² to find 75².
33. 33.Use a² − b² = (a + b)(a − b) to find 50² − 11².
34. 34.Use (a − b)² = a² − 2ab + b² to find 63².
35. 35.Use (a + b)(a − b) = a² − b² to find 54 × 46.
36. 36.Use a² − b² = (a + b)(a − b) to find 47² − 27².
37. 37.Use (a − b)² = a² − 2ab + b² to find 46².
38. 38.Use (a + b)² = a² + 2ab + b² to find 71².
39. 39.Find the value of x² − y² when x = 14 and y = 1.
40. 40.Use (a − b)² = a² − 2ab + b² to find 52².

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