Class 8 Maths Worksheet: Algebraic Identities

Maths worksheets lesson 61: Algebraic identities · Set 689 · 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 67² − 65².
2. 2.Use (a + b)² = a² + 2ab + b² to find 17².
3. 3.Find the value of x² + 2xy + y² when x = 4 and y = 1.
4. 4.Use (a + b)(a − b) = a² − b² to find 96 × 84.
5. 5.Use (a − b)² = a² − 2ab + b² to find 46².
6. 6.Use (a + b)(a − b) = a² − b² to find 36 × 24.
7. 7.Use a² − b² = (a + b)(a − b) to find 79² − 3².
8. 8.Use (a − b)² = a² − 2ab + b² to find 76².
9. 9.Use (a + b)² = a² + 2ab + b² to find 11².
10. 10.Find the value of x² − y² when x = 8 and y = 6.
11. 11.Use (a + b)(a − b) = a² − b² to find 63 × 57.
12. 12.If a + b = 14 and ab = 24, what is a² + b²?
13. 13.Use (a − b)² = a² − 2ab + b² to find 41².
14. 14.Use (a + b)² = a² + 2ab + b² to find 15².
15. 15.Use (a + b)(a − b) = a² − b² to find 78 × 62.
16. 16.Use (a − b)² = a² − 2ab + b² to find 74².
17. 17.If a − b = 1 and ab = 132, what is a² + b²?
18. 18.Use (a + b)² = a² + 2ab + b² to find 45².
19. 19.Use (a + b)(a − b) = a² − b² to find 47 × 33.
20. 20.If a + b = 17 and ab = 66, what is a² + b²?
21. 21.If a − b = 5 and ab = 6, what is a² + b²?
22. 22.Use (a + b)² = a² + 2ab + b² to find 76².
23. 23.Find the value of x² − y² when x = 5 and y = 4.
24. 24.Use (a + b)² = a² + 2ab + b² to find 55².
25. 25.Find the value of x² − 2xy + y² when x = 5 and y = 2.
26. 26.Find the value of x² − 2xy + y² when x = 15 and y = 8.
27. 27.If a − b = 9 and ab = 10, what is a² + b²?
28. 28.Use a² − b² = (a + b)(a − b) to find 54² − 12².
29. 29.Find the value of x² + 2xy + y² when x = 8 and y = 5.
30. 30.If a + b = 3 and ab = 2, what is a² + b²?
31. 31.Use a² − b² = (a + b)(a − b) to find 62² − 32².
32. 32.If a + b = 5 and ab = 4, what is a² + b²?
33. 33.Use (a + b)² = a² + 2ab + b² to find 97².
34. 34.Find the value of x² + 2xy + y² when x = 7 and y = 5.
35. 35.If a + b = 9 and ab = 18, what is a² + b²?
36. 36.Use a² − b² = (a + b)(a − b) to find 23² − 14².
37. 37.Use a² − b² = (a + b)(a − b) to find 43² − 19².
38. 38.Use a² − b² = (a + b)(a − b) to find 36² − 1².
39. 39.Use (a + b)² = a² + 2ab + b² to find 13².
40. 40.If a − b = 1 and ab = 72, what is a² + b²?

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