Class 8 Maths Worksheet: Algebraic Identities

Maths worksheets lesson 61: Algebraic identities · Set 943 · 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 96².
2. 2.If a − b = 8 and ab = 48, what is a² + b²?
3. 3.Find the value of x² + 2xy + y² when x = 3 and y = 1.
4. 4.Use (a − b)² = a² − 2ab + b² to find 84².
5. 5.Use (a + b)(a − b) = a² − b² to find 96 × 84.
6. 6.Use a² − b² = (a + b)(a − b) to find 92² − 69².
7. 7.Find the value of x² − 2xy + y² when x = 3 and y = 1.
8. 8.Use (a + b)² = a² + 2ab + b² to find 81².
9. 9.Use (a + b)(a − b) = a² − b² to find 92 × 88.
10. 10.Use a² − b² = (a + b)(a − b) to find 22² − 1².
11. 11.Use a² − b² = (a + b)(a − b) to find 61² − 29².
12. 12.Use a² − b² = (a + b)(a − b) to find 36² − 20².
13. 13.Use (a + b)(a − b) = a² − b² to find 109 × 91.
14. 14.Use a² − b² = (a + b)(a − b) to find 33² − 9².
15. 15.Use (a + b)² = a² + 2ab + b² to find 62².
16. 16.Use a² − b² = (a + b)(a − b) to find 42² − 35².
17. 17.Use (a + b)² = a² + 2ab + b² to find 72².
18. 18.Use (a − b)² = a² − 2ab + b² to find 11².
19. 19.Use a² − b² = (a + b)(a − b) to find 40² − 10².
20. 20.Use (a + b)² = a² + 2ab + b² to find 91².
21. 21.Find the value of x² − 2xy + y² when x = 6 and y = 4.
22. 22.Use a² − b² = (a + b)(a − b) to find 47² − 41².
23. 23.If a + b = 3 and ab = 2, what is a² + b²?
24. 24.Use a² − b² = (a + b)(a − b) to find 99² − 53².
25. 25.Use (a − b)² = a² − 2ab + b² to find 44².
26. 26.Use (a + b)² = a² + 2ab + b² to find 13².
27. 27.If a + b = 4 and ab = 3, what is a² + b²?
28. 28.Use (a + b)² = a² + 2ab + b² to find 15².
29. 29.Use (a + b)(a − b) = a² − b² to find 22 × 18.
30. 30.If a + b = 8 and ab = 12, what is a² + b²?
31. 31.Use (a − b)² = a² − 2ab + b² to find 76².
32. 32.Use (a − b)² = a² − 2ab + b² to find 29².
33. 33.Use a² − b² = (a + b)(a − b) to find 28² − 25².
34. 34.Find the value of x² + 2xy + y² when x = 12 and y = 5.
35. 35.Use a² − b² = (a + b)(a − b) to find 24² − 11².
36. 36.Use (a + b)² = a² + 2ab + b² to find 73².
37. 37.If a − b = 1 and ab = 6, what is a² + b²?
38. 38.Use a² − b² = (a + b)(a − b) to find 72² − 53².
39. 39.Use (a − b)² = a² − 2ab + b² to find 89².
40. 40.Find the value of x² + 2xy + y² when x = 15 and y = 12.

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