Class 8 Maths Worksheet: Algebraic Identities

Maths worksheets lesson 61: Algebraic identities · Set 344 · 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.Use a² − b² = (a + b)(a − b) to find 78² − 63².
3. 3.Find the value of x² + 2xy + y² when x = 4 and y = 2.
4. 4.Use a² − b² = (a + b)(a − b) to find 76² − 61².
5. 5.If a − b = 1 and ab = 2, what is a² + b²?
6. 6.If a + b = 7 and ab = 10, what is a² + b²?
7. 7.Use a² − b² = (a + b)(a − b) to find 63² − 13².
8. 8.Use a² − b² = (a + b)(a − b) to find 29² − 22².
9. 9.Use (a + b)² = a² + 2ab + b² to find 94².
10. 10.Use (a + b)(a − b) = a² − b² to find 31 × 29.
11. 11.Use (a − b)² = a² − 2ab + b² to find 82².
12. 12.Use (a + b)(a − b) = a² − b² to find 29 × 11.
13. 13.Use a² − b² = (a + b)(a − b) to find 37² − 28².
14. 14.If a − b = 10 and ab = 24, what is a² + b²?
15. 15.Use (a − b)² = a² − 2ab + b² to find 84².
16. 16.Use a² − b² = (a + b)(a − b) to find 21² − 8².
17. 17.Find the value of x² + 2xy + y² when x = 3 and y = 1.
18. 18.If a + b = 14 and ab = 48, what is a² + b²?
19. 19.Use a² − b² = (a + b)(a − b) to find 95² − 16².
20. 20.Find the value of x² + 2xy + y² when x = 12 and y = 1.
21. 21.If a − b = 5 and ab = 66, what is a² + b²?
22. 22.Use a² − b² = (a + b)(a − b) to find 44² − 41².
23. 23.Use (a + b)² = a² + 2ab + b² to find 49².
24. 24.Use (a + b)² = a² + 2ab + b² to find 15².
25. 25.Use (a + b)(a − b) = a² − b² to find 107 × 93.
26. 26.Use (a + b)² = a² + 2ab + b² to find 92².
27. 27.Use (a − b)² = a² − 2ab + b² to find 66².
28. 28.Use (a + b)² = a² + 2ab + b² to find 21².
29. 29.Use (a + b)² = a² + 2ab + b² to find 106².
30. 30.If a + b = 7 and ab = 12, what is a² + b²?
31. 31.Find the value of x² − 2xy + y² when x = 3 and y = 1.
32. 32.Use (a − b)² = a² − 2ab + b² to find 27².
33. 33.Use (a + b)² = a² + 2ab + b² to find 72².
34. 34.Use (a + b)(a − b) = a² − b² to find 63 × 57.
35. 35.Use (a + b)² = a² + 2ab + b² to find 93².
36. 36.Use (a + b)(a − b) = a² − b² to find 39 × 21.
37. 37.If a − b = 3 and ab = 54, what is a² + b²?
38. 38.Find the value of x² + 2xy + y² when x = 15 and y = 3.
39. 39.Use (a + b)² = a² + 2ab + b² to find 71².
40. 40.Use a² − b² = (a + b)(a − b) to find 39² − 16².

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