Class 8 Maths Worksheet: Algebraic Identities

Maths worksheets lesson 61: Algebraic identities · Set 835 · 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.If a − b = 4 and ab = 96, what is a² + b²?
2. 2.Use (a + b)(a − b) = a² − b² to find 48 × 32.
3. 3.If a + b = 8 and ab = 7, what is a² + b²?
4. 4.Use (a + b)(a − b) = a² − b² to find 85 × 75.
5. 5.Use (a + b)(a − b) = a² − b² to find 77 × 63.
6. 6.Find the value of x² − 2xy + y² when x = 3 and y = 1.
7. 7.Use (a + b)(a − b) = a² − b² to find 79 × 61.
8. 8.If a + b = 15 and ab = 44, what is a² + b²?
9. 9.Use (a − b)² = a² − 2ab + b² to find 84².
10. 10.Use (a + b)(a − b) = a² − b² to find 45 × 35.
11. 11.If a + b = 3 and ab = 2, what is a² + b²?
12. 12.Use (a + b)(a − b) = a² − b² to find 92 × 88.
13. 13.Use (a + b)² = a² + 2ab + b² to find 59².
14. 14.Use (a + b)² = a² + 2ab + b² to find 37².
15. 15.Use (a + b)(a − b) = a² − b² to find 89 × 71.
16. 16.Find the value of x² + 2xy + y² when x = 11 and y = 10.
17. 17.Use (a + b)² = a² + 2ab + b² to find 16².
18. 18.Use (a − b)² = a² − 2ab + b² to find 88².
19. 19.Use (a + b)² = a² + 2ab + b² to find 96².
20. 20.Use a² − b² = (a + b)(a − b) to find 57² − 3².
21. 21.Use (a + b)(a − b) = a² − b² to find 88 × 72.
22. 22.If a − b = 2 and ab = 3, what is a² + b²?
23. 23.Use (a + b)(a − b) = a² − b² to find 95 × 85.
24. 24.If a − b = 3 and ab = 70, what is a² + b²?
25. 25.Use (a + b)² = a² + 2ab + b² to find 25².
26. 26.Use (a − b)² = a² − 2ab + b² to find 17².
27. 27.Find the value of x² − 2xy + y² when x = 5 and y = 4.
28. 28.Use (a − b)² = a² − 2ab + b² to find 66².
29. 29.Find the value of x² − 2xy + y² when x = 11 and y = 4.
30. 30.Use (a − b)² = a² − 2ab + b² to find 15².
31. 31.If a + b = 7 and ab = 12, what is a² + b²?
32. 32.Use (a + b)(a − b) = a² − b² to find 105 × 95.
33. 33.Use (a + b)(a − b) = a² − b² to find 26 × 14.
34. 34.Use (a + b)(a − b) = a² − b² to find 61 × 59.
35. 35.Use (a − b)² = a² − 2ab + b² to find 38².
36. 36.Use (a − b)² = a² − 2ab + b² to find 45².
37. 37.Find the value of x² − 2xy + y² when x = 15 and y = 3.
38. 38.Use a² − b² = (a + b)(a − b) to find 87² − 82².
39. 39.Use (a + b)² = a² + 2ab + b² to find 52².
40. 40.Use (a − b)² = a² − 2ab + b² to find 31².

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