Class 8 Maths Worksheet: Algebraic Identities

Maths worksheets lesson 61: Algebraic identities · Set 550 · 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 a² − b² = (a + b)(a − b) to find 64² − 59².
2. 2.Use (a − b)² = a² − 2ab + b² to find 97².
3. 3.Use a² − b² = (a + b)(a − b) to find 40² − 8².
4. 4.Use (a + b)(a − b) = a² − b² to find 73 × 67.
5. 5.Use a² − b² = (a + b)(a − b) to find 40² − 6².
6. 6.Find the value of x² − y² when x = 13 and y = 2.
7. 7.Use a² − b² = (a + b)(a − b) to find 29² − 1².
8. 8.If a − b = 10 and ab = 11, what is a² + b²?
9. 9.Use a² − b² = (a + b)(a − b) to find 22² − 20².
10. 10.If a − b = 6 and ab = 16, what is a² + b²?
11. 11.Use (a − b)² = a² − 2ab + b² to find 23².
12. 12.Find the value of x² − 2xy + y² when x = 4 and y = 3.
13. 13.Use (a + b)(a − b) = a² − b² to find 38 × 22.
14. 14.Use (a + b)(a − b) = a² − b² to find 103 × 97.
15. 15.Use (a + b)² = a² + 2ab + b² to find 93².
16. 16.Find the value of x² − 2xy + y² when x = 11 and y = 9.
17. 17.Use (a + b)² = a² + 2ab + b² to find 73².
18. 18.Use (a + b)(a − b) = a² − b² to find 36 × 24.
19. 19.Use (a + b)² = a² + 2ab + b² to find 78².
20. 20.If a + b = 3 and ab = 2, what is a² + b²?
21. 21.Use (a + b)(a − b) = a² − b² to find 24 × 16.
22. 22.Use (a − b)² = a² − 2ab + b² to find 37².
23. 23.Use (a + b)² = a² + 2ab + b² to find 18².
24. 24.Find the value of x² − 2xy + y² when x = 5 and y = 4.
25. 25.If a − b = 1 and ab = 20, what is a² + b²?
26. 26.Use (a + b)(a − b) = a² − b² to find 92 × 88.
27. 27.Find the value of x² − 2xy + y² when x = 15 and y = 5.
28. 28.Use (a − b)² = a² − 2ab + b² to find 27².
29. 29.Use (a − b)² = a² − 2ab + b² to find 68².
30. 30.Find the value of x² + 2xy + y² when x = 12 and y = 2.
31. 31.Use (a − b)² = a² − 2ab + b² to find 67².
32. 32.Use (a + b)(a − b) = a² − b² to find 63 × 57.
33. 33.Use (a + b)(a − b) = a² − b² to find 85 × 75.
34. 34.Use (a + b)² = a² + 2ab + b² to find 36².
35. 35.Use (a + b)(a − b) = a² − b² to find 71 × 69.
36. 36.Find the value of x² − 2xy + y² when x = 15 and y = 1.
37. 37.If a − b = 5 and ab = 6, what is a² + b²?
38. 38.Use a² − b² = (a + b)(a − b) to find 80² − 28².
39. 39.Use (a − b)² = a² − 2ab + b² to find 47².
40. 40.Use (a + b)(a − b) = a² − b² to find 109 × 91.

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