Class 8 Maths Worksheet: Algebraic Identities

Maths worksheets lesson 61: Algebraic identities · Set 582 · 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 13².
2. 2.Use (a + b)² = a² + 2ab + b² to find 28².
3. 3.Find the value of x² − 2xy + y² when x = 4 and y = 3.
4. 4.Use a² − b² = (a + b)(a − b) to find 43² − 12².
5. 5.Use (a − b)² = a² − 2ab + b² to find 13².
6. 6.Use a² − b² = (a + b)(a − b) to find 32² − 14².
7. 7.Use (a + b)(a − b) = a² − b² to find 27 × 13.
8. 8.Find the value of x² + 2xy + y² when x = 11 and y = 6.
9. 9.Use a² − b² = (a + b)(a − b) to find 67² − 20².
10. 10.Use a² − b² = (a + b)(a − b) to find 86² − 2².
11. 11.Find the value of x² + 2xy + y² when x = 10 and y = 6.
12. 12.Use (a − b)² = a² − 2ab + b² to find 67².
13. 13.Use (a − b)² = a² − 2ab + b² to find 78².
14. 14.If a − b = 3 and ab = 4, what is a² + b²?
15. 15.Use (a + b)² = a² + 2ab + b² to find 98².
16. 16.If a − b = 1 and ab = 20, what is a² + b²?
17. 17.Find the value of x² + 2xy + y² when x = 3 and y = 1.
18. 18.Find the value of x² + 2xy + y² when x = 5 and y = 2.
19. 19.If a + b = 7 and ab = 6, what is a² + b²?
20. 20.Find the value of x² − 2xy + y² when x = 9 and y = 1.
21. 21.Use (a + b)² = a² + 2ab + b² to find 83².
22. 22.Use (a + b)² = a² + 2ab + b² to find 24².
23. 23.Find the value of x² + 2xy + y² when x = 12 and y = 2.
24. 24.If a − b = 4 and ab = 12, what is a² + b²?
25. 25.Use (a − b)² = a² − 2ab + b² to find 79².
26. 26.Use (a + b)² = a² + 2ab + b² to find 48².
27. 27.Find the value of x² − y² when x = 4 and y = 3.
28. 28.Find the value of x² − y² when x = 6 and y = 4.
29. 29.Use (a − b)² = a² − 2ab + b² to find 68².
30. 30.Use (a − b)² = a² − 2ab + b² to find 83².
31. 31.Use (a + b)(a − b) = a² − b² to find 66 × 54.
32. 32.Use a² − b² = (a + b)(a − b) to find 77² − 46².
33. 33.Use (a + b)² = a² + 2ab + b² to find 72².
34. 34.If a + b = 8 and ab = 15, what is a² + b²?
35. 35.Use (a + b)² = a² + 2ab + b² to find 105².
36. 36.Use (a + b)² = a² + 2ab + b² to find 12².
37. 37.Use (a + b)² = a² + 2ab + b² to find 97².
38. 38.Use (a + b)(a − b) = a² − b² to find 43 × 37.
39. 39.Use a² − b² = (a + b)(a − b) to find 73² − 34².
40. 40.If a − b = 2 and ab = 35, what is a² + b²?

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