Class 8 Maths Worksheet: Algebraic Identities

Maths worksheets lesson 61: Algebraic identities · Set 930 · 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 87² − 9².
2. 2.Find the value of x² − 2xy + y² when x = 3 and y = 1.
3. 3.Use a² − b² = (a + b)(a − b) to find 51² − 10².
4. 4.Use a² − b² = (a + b)(a − b) to find 44² − 39².
5. 5.Use a² − b² = (a + b)(a − b) to find 51² − 9².
6. 6.Use (a − b)² = a² − 2ab + b² to find 98².
7. 7.Use (a + b)² = a² + 2ab + b² to find 71².
8. 8.Use (a + b)² = a² + 2ab + b² to find 64².
9. 9.Use (a + b)(a − b) = a² − b² to find 64 × 56.
10. 10.Use (a + b)(a − b) = a² − b² to find 97 × 83.
11. 11.Use (a + b)² = a² + 2ab + b² to find 21².
12. 12.Use (a + b)(a − b) = a² − b² to find 32 × 28.
13. 13.Find the value of x² + 2xy + y² when x = 8 and y = 7.
14. 14.If a + b = 7 and ab = 12, what is a² + b²?
15. 15.Use a² − b² = (a + b)(a − b) to find 36² − 28².
16. 16.If a + b = 13 and ab = 36, what is a² + b²?
17. 17.Use (a − b)² = a² − 2ab + b² to find 97².
18. 18.Use (a − b)² = a² − 2ab + b² to find 88².
19. 19.Use (a + b)² = a² + 2ab + b² to find 11².
20. 20.Use (a + b)(a − b) = a² − b² to find 27 × 13.
21. 21.Use (a + b)² = a² + 2ab + b² to find 108².
22. 22.Use (a + b)² = a² + 2ab + b² to find 76².
23. 23.Use a² − b² = (a + b)(a − b) to find 45² − 18².
24. 24.Use (a + b)(a − b) = a² − b² to find 65 × 55.
25. 25.Find the value of x² − y² when x = 6 and y = 4.
26. 26.Use (a − b)² = a² − 2ab + b² to find 73².
27. 27.Use a² − b² = (a + b)(a − b) to find 38² − 5².
28. 28.If a − b = 2 and ab = 99, what is a² + b²?
29. 29.If a + b = 3 and ab = 2, what is a² + b²?
30. 30.Use (a − b)² = a² − 2ab + b² to find 64².
31. 31.Find the value of x² − y² when x = 7 and y = 1.
32. 32.Use (a + b)² = a² + 2ab + b² to find 78².
33. 33.Use (a − b)² = a² − 2ab + b² to find 68².
34. 34.Use a² − b² = (a + b)(a − b) to find 49² − 2².
35. 35.Use (a + b)(a − b) = a² − b² to find 46 × 34.
36. 36.Use (a + b)(a − b) = a² − b² to find 101 × 99.
37. 37.Use (a − b)² = a² − 2ab + b² to find 34².
38. 38.Use a² − b² = (a + b)(a − b) to find 46² − 41².
39. 39.Use a² − b² = (a + b)(a − b) to find 64² − 5².
40. 40.Find the value of x² − y² when x = 13 and y = 5.

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