Class 8 Maths Worksheet: Algebraic Identities

Maths worksheets lesson 61: Algebraic identities · Set 281 · 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 37².
2. 2.Find the value of x² + 2xy + y² when x = 12 and y = 5.
3. 3.If a + b = 11 and ab = 24, what is a² + b²?
4. 4.Use a² − b² = (a + b)(a − b) to find 21² − 2².
5. 5.Use (a + b)(a − b) = a² − b² to find 58 × 42.
6. 6.Use a² − b² = (a + b)(a − b) to find 71² − 50².
7. 7.Use (a − b)² = a² − 2ab + b² to find 85².
8. 8.If a + b = 14 and ab = 40, what is a² + b²?
9. 9.Use a² − b² = (a + b)(a − b) to find 61² − 13².
10. 10.Use (a + b)² = a² + 2ab + b² to find 31².
11. 11.Use (a + b)² = a² + 2ab + b² to find 45².
12. 12.Use (a + b)(a − b) = a² − b² to find 37 × 23.
13. 13.Use (a − b)² = a² − 2ab + b² to find 92².
14. 14.If a − b = 6 and ab = 16, what is a² + b²?
15. 15.Use (a + b)(a − b) = a² − b² to find 96 × 84.
16. 16.Use (a − b)² = a² − 2ab + b² to find 17².
17. 17.Use (a + b)² = a² + 2ab + b² to find 85².
18. 18.If a + b = 19 and ab = 84, what is a² + b²?
19. 19.Find the value of x² − 2xy + y² when x = 4 and y = 3.
20. 20.Use (a + b)(a − b) = a² − b² to find 92 × 88.
21. 21.Use a² − b² = (a + b)(a − b) to find 25² − 6².
22. 22.If a + b = 11 and ab = 30, what is a² + b²?
23. 23.Use (a − b)² = a² − 2ab + b² to find 44².
24. 24.Use (a + b)(a − b) = a² − b² to find 35 × 25.
25. 25.Use (a − b)² = a² − 2ab + b² to find 66².
26. 26.Use (a + b)² = a² + 2ab + b² to find 73².
27. 27.If a − b = 4 and ab = 60, what is a² + b²?
28. 28.Use (a + b)² = a² + 2ab + b² to find 88².
29. 29.Use (a − b)² = a² − 2ab + b² to find 96².
30. 30.Use (a + b)² = a² + 2ab + b² to find 52².
31. 31.If a − b = 2 and ab = 24, what is a² + b²?
32. 32.If a + b = 13 and ab = 42, what is a² + b²?
33. 33.Use (a + b)(a − b) = a² − b² to find 55 × 45.
34. 34.If a + b = 11 and ab = 28, what is a² + b²?
35. 35.Find the value of x² − 2xy + y² when x = 15 and y = 6.
36. 36.If a + b = 6 and ab = 8, what is a² + b²?
37. 37.Use (a + b)(a − b) = a² − b² to find 48 × 32.
38. 38.Use (a + b)² = a² + 2ab + b² to find 83².
39. 39.If a − b = 1 and ab = 90, what is a² + b²?
40. 40.Use (a + b)(a − b) = a² − b² to find 68 × 52.

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