Class 8 Maths Worksheet: Algebraic Identities

Maths worksheets lesson 61: Algebraic identities · Set 248 · 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 86².
2. 2.Use (a + b)(a − b) = a² − b² to find 66 × 54.
3. 3.Use (a + b)² = a² + 2ab + b² to find 45².
4. 4.Use (a − b)² = a² − 2ab + b² to find 97².
5. 5.Use (a − b)² = a² − 2ab + b² to find 87².
6. 6.Use (a + b)(a − b) = a² − b² to find 79 × 61.
7. 7.Use a² − b² = (a + b)(a − b) to find 25² − 3².
8. 8.Find the value of x² − 2xy + y² when x = 12 and y = 6.
9. 9.Use a² − b² = (a + b)(a − b) to find 70² − 16².
10. 10.If a + b = 10 and ab = 16, what is a² + b²?
11. 11.Use (a + b)² = a² + 2ab + b² to find 41².
12. 12.Use (a − b)² = a² − 2ab + b² to find 59².
13. 13.Use (a + b)² = a² + 2ab + b² to find 85².
14. 14.If a + b = 9 and ab = 14, what is a² + b²?
15. 15.Use (a + b)² = a² + 2ab + b² to find 23².
16. 16.If a + b = 7 and ab = 6, what is a² + b²?
17. 17.Use a² − b² = (a + b)(a − b) to find 46² − 22².
18. 18.Use a² − b² = (a + b)(a − b) to find 44² − 15².
19. 19.Use (a − b)² = a² − 2ab + b² to find 14².
20. 20.Use a² − b² = (a + b)(a − b) to find 78² − 73².
21. 21.Use (a − b)² = a² − 2ab + b² to find 79².
22. 22.Use (a + b)² = a² + 2ab + b² to find 66².
23. 23.Use a² − b² = (a + b)(a − b) to find 42² − 17².
24. 24.Use (a − b)² = a² − 2ab + b² to find 91².
25. 25.Use a² − b² = (a + b)(a − b) to find 54² − 33².
26. 26.Use (a − b)² = a² − 2ab + b² to find 73².
27. 27.Find the value of x² − 2xy + y² when x = 5 and y = 4.
28. 28.Find the value of x² − 2xy + y² when x = 6 and y = 3.
29. 29.Find the value of x² − 2xy + y² when x = 11 and y = 5.
30. 30.Use (a + b)(a − b) = a² − b² to find 84 × 76.
31. 31.Find the value of x² − y² when x = 10 and y = 5.
32. 32.Use a² − b² = (a + b)(a − b) to find 55² − 3².
33. 33.Use (a − b)² = a² − 2ab + b² to find 24².
34. 34.Use (a + b)² = a² + 2ab + b² to find 94².
35. 35.Find the value of x² − 2xy + y² when x = 4 and y = 2.
36. 36.Find the value of x² + 2xy + y² when x = 8 and y = 3.
37. 37.Use (a + b)² = a² + 2ab + b² to find 25².
38. 38.Use (a + b)² = a² + 2ab + b² to find 95².
39. 39.Use (a + b)(a − b) = a² − b² to find 52 × 48.
40. 40.Use (a + b)² = a² + 2ab + b² to find 71².

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