Class 8 Maths Worksheet: Algebraic Identities

Maths worksheets lesson 61: Algebraic identities · Set 506 · 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 = 5 and y = 2.
2. 2.If a − b = 8 and ab = 33, what is a² + b²?
3. 3.Use (a − b)² = a² − 2ab + b² to find 19².
4. 4.If a + b = 9 and ab = 8, what is a² + b²?
5. 5.Find the value of x² − 2xy + y² when x = 10 and y = 9.
6. 6.Use (a + b)(a − b) = a² − b² to find 99 × 81.
7. 7.Use (a − b)² = a² − 2ab + b² to find 62².
8. 8.If a − b = 2 and ab = 24, what is a² + b²?
9. 9.Use a² − b² = (a + b)(a − b) to find 67² − 2².
10. 10.Find the value of x² − y² when x = 4 and y = 3.
11. 11.Find the value of x² − 2xy + y² when x = 12 and y = 11.
12. 12.Use (a + b)² = a² + 2ab + b² to find 19².
13. 13.Use (a + b)(a − b) = a² − b² to find 46 × 34.
14. 14.If a + b = 19 and ab = 90, what is a² + b²?
15. 15.If a + b = 4 and ab = 3, what is a² + b²?
16. 16.Use (a − b)² = a² − 2ab + b² to find 77².
17. 17.Use (a + b)² = a² + 2ab + b² to find 42².
18. 18.Use (a + b)² = a² + 2ab + b² to find 44².
19. 19.Use (a + b)² = a² + 2ab + b² to find 108².
20. 20.Find the value of x² − 2xy + y² when x = 4 and y = 3.
21. 21.If a + b = 17 and ab = 60, what is a² + b²?
22. 22.Use a² − b² = (a + b)(a − b) to find 23² − 7².
23. 23.Use (a − b)² = a² − 2ab + b² to find 29².
24. 24.Use (a − b)² = a² − 2ab + b² to find 56².
25. 25.Use (a + b)² = a² + 2ab + b² to find 16².
26. 26.Use (a + b)(a − b) = a² − b² to find 89 × 71.
27. 27.Use a² − b² = (a + b)(a − b) to find 24² − 22².
28. 28.Find the value of x² − 2xy + y² when x = 15 and y = 9.
29. 29.If a − b = 6 and ab = 27, what is a² + b²?
30. 30.Use (a + b)² = a² + 2ab + b² to find 79².
31. 31.If a − b = 4 and ab = 77, what is a² + b²?
32. 32.Use (a − b)² = a² − 2ab + b² to find 37².
33. 33.Use (a + b)(a − b) = a² − b² to find 73 × 67.
34. 34.Use a² − b² = (a + b)(a − b) to find 65² − 17².
35. 35.If a + b = 7 and ab = 12, what is a² + b²?
36. 36.Use a² − b² = (a + b)(a − b) to find 95² − 76².
37. 37.Find the value of x² + 2xy + y² when x = 4 and y = 3.
38. 38.Find the value of x² − y² when x = 8 and y = 4.
39. 39.Use (a + b)(a − b) = a² − b² to find 101 × 99.
40. 40.Use (a + b)² = a² + 2ab + b² to find 35².

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