Class 8 Maths Worksheet: Algebraic Identities

Maths worksheets lesson 61: Algebraic identities · Set 419 · 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 − 2xy + y² when x = 14 and y = 12.
2. 2.Use a² − b² = (a + b)(a − b) to find 64² − 31².
3. 3.Use a² − b² = (a + b)(a − b) to find 76² − 12².
4. 4.Use (a + b)² = a² + 2ab + b² to find 48².
5. 5.Use (a − b)² = a² − 2ab + b² to find 61².
6. 6.If a + b = 12 and ab = 35, what is a² + b²?
7. 7.If a + b = 7 and ab = 12, what is a² + b²?
8. 8.Find the value of x² − 2xy + y² when x = 12 and y = 1.
9. 9.If a − b = 3 and ab = 4, what is a² + b²?
10. 10.If a − b = 5 and ab = 66, what is a² + b²?
11. 11.Use (a − b)² = a² − 2ab + b² to find 58².
12. 12.Use a² − b² = (a + b)(a − b) to find 47² − 3².
13. 13.Use (a + b)² = a² + 2ab + b² to find 47².
14. 14.Use a² − b² = (a + b)(a − b) to find 24² − 5².
15. 15.Use (a − b)² = a² − 2ab + b² to find 77².
16. 16.Use (a − b)² = a² − 2ab + b² to find 13².
17. 17.Use (a + b)² = a² + 2ab + b² to find 22².
18. 18.Use (a − b)² = a² − 2ab + b² to find 18².
19. 19.Use (a − b)² = a² − 2ab + b² to find 16².
20. 20.Use (a + b)(a − b) = a² − b² to find 67 × 53.
21. 21.Use (a + b)² = a² + 2ab + b² to find 38².
22. 22.Use (a + b)(a − b) = a² − b² to find 51 × 49.
23. 23.Use (a − b)² = a² − 2ab + b² to find 31².
24. 24.Use a² − b² = (a + b)(a − b) to find 57² − 30².
25. 25.Use a² − b² = (a + b)(a − b) to find 29² − 15².
26. 26.Use (a + b)(a − b) = a² − b² to find 92 × 88.
27. 27.Use (a + b)(a − b) = a² − b² to find 88 × 72.
28. 28.If a − b = 2 and ab = 15, what is a² + b²?
29. 29.Find the value of x² − 2xy + y² when x = 4 and y = 2.
30. 30.Use (a + b)² = a² + 2ab + b² to find 73².
31. 31.Use (a + b)² = a² + 2ab + b² to find 109².
32. 32.Use (a + b)² = a² + 2ab + b² to find 82².
33. 33.Use (a − b)² = a² − 2ab + b² to find 81².
34. 34.If a − b = 2 and ab = 80, what is a² + b²?
35. 35.Use (a + b)(a − b) = a² − b² to find 31 × 29.
36. 36.Use (a + b)² = a² + 2ab + b² to find 46².
37. 37.Use (a + b)² = a² + 2ab + b² to find 16².
38. 38.Use a² − b² = (a + b)(a − b) to find 77² − 66².
39. 39.Use (a + b)² = a² + 2ab + b² to find 63².
40. 40.Find the value of x² − 2xy + y² when x = 11 and y = 2.

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