Class 8 Maths Worksheet: Algebraic Identities

Maths worksheets lesson 61: Algebraic identities · Set 435 · 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.If a + b = 7 and ab = 6, what is a² + b²?
2. 2.Use (a − b)² = a² − 2ab + b² to find 31².
3. 3.Use (a + b)² = a² + 2ab + b² to find 17².
4. 4.If a − b = 4 and ab = 77, what is a² + b²?
5. 5.Use (a + b)(a − b) = a² − b² to find 33 × 27.
6. 6.Use a² − b² = (a + b)(a − b) to find 91² − 67².
7. 7.Use (a − b)² = a² − 2ab + b² to find 33².
8. 8.Use (a + b)² = a² + 2ab + b² to find 92².
9. 9.If a − b = 1 and ab = 2, what is a² + b²?
10. 10.If a + b = 17 and ab = 60, what is a² + b²?
11. 11.Find the value of x² − 2xy + y² when x = 7 and y = 3.
12. 12.Use a² − b² = (a + b)(a − b) to find 90² − 86².
13. 13.If a − b = 4 and ab = 5, what is a² + b²?
14. 14.If a − b = 5 and ab = 24, what is a² + b²?
15. 15.Use a² − b² = (a + b)(a − b) to find 62² − 9².
16. 16.Find the value of x² − 2xy + y² when x = 13 and y = 10.
17. 17.Use (a + b)² = a² + 2ab + b² to find 73².
18. 18.Use (a − b)² = a² − 2ab + b² to find 84².
19. 19.Use (a + b)² = a² + 2ab + b² to find 47².
20. 20.Use a² − b² = (a + b)(a − b) to find 78² − 11².
21. 21.Find the value of x² − 2xy + y² when x = 8 and y = 7.
22. 22.Use (a + b)(a − b) = a² − b² to find 82 × 78.
23. 23.Use (a + b)(a − b) = a² − b² to find 67 × 53.
24. 24.If a + b = 14 and ab = 45, what is a² + b²?
25. 25.Use (a − b)² = a² − 2ab + b² to find 92².
26. 26.Use (a + b)² = a² + 2ab + b² to find 16².
27. 27.Use (a − b)² = a² − 2ab + b² to find 74².
28. 28.Use (a + b)(a − b) = a² − b² to find 22 × 18.
29. 29.Use (a + b)(a − b) = a² − b² to find 56 × 44.
30. 30.Use (a + b)(a − b) = a² − b² to find 29 × 11.
31. 31.Use (a − b)² = a² − 2ab + b² to find 83².
32. 32.If a − b = 1 and ab = 12, what is a² + b²?
33. 33.Use (a + b)(a − b) = a² − b² to find 41 × 39.
34. 34.Use (a + b)(a − b) = a² − b² to find 27 × 13.
35. 35.Use (a + b)(a − b) = a² − b² to find 47 × 33.
36. 36.If a + b = 14 and ab = 24, what is a² + b²?
37. 37.Use a² − b² = (a + b)(a − b) to find 23² − 2².
38. 38.Use a² − b² = (a + b)(a − b) to find 45² − 24².
39. 39.If a − b = 1 and ab = 132, what is a² + b²?
40. 40.Use a² − b² = (a + b)(a − b) to find 85² − 7².

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