Class 8 Maths Worksheet: Algebraic Identities

Maths worksheets lesson 61: Algebraic identities · Set 598 · 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 98².
2. 2.Use (a − b)² = a² − 2ab + b² to find 78².
3. 3.Find the value of x² − 2xy + y² when x = 5 and y = 1.
4. 4.Use (a − b)² = a² − 2ab + b² to find 46².
5. 5.Use (a + b)² = a² + 2ab + b² to find 29².
6. 6.Find the value of x² + 2xy + y² when x = 10 and y = 3.
7. 7.If a + b = 16 and ab = 48, what is a² + b²?
8. 8.Find the value of x² − y² when x = 3 and y = 2.
9. 9.Use a² − b² = (a + b)(a − b) to find 38² − 8².
10. 10.Find the value of x² + 2xy + y² when x = 13 and y = 4.
11. 11.Use (a + b)² = a² + 2ab + b² to find 18².
12. 12.Use (a + b)² = a² + 2ab + b² to find 81².
13. 13.Use a² − b² = (a + b)(a − b) to find 75² − 59².
14. 14.Use a² − b² = (a + b)(a − b) to find 75² − 52².
15. 15.Use (a + b)² = a² + 2ab + b² to find 93².
16. 16.Find the value of x² − y² when x = 10 and y = 9.
17. 17.If a − b = 1 and ab = 30, what is a² + b²?
18. 18.Use (a + b)(a − b) = a² − b² to find 27 × 13.
19. 19.Use (a + b)² = a² + 2ab + b² to find 58².
20. 20.Use a² − b² = (a + b)(a − b) to find 46² − 27².
21. 21.Use (a − b)² = a² − 2ab + b² to find 34².
22. 22.Use (a + b)² = a² + 2ab + b² to find 27².
23. 23.If a + b = 7 and ab = 12, what is a² + b²?
24. 24.Find the value of x² − y² when x = 4 and y = 3.
25. 25.Use a² − b² = (a + b)(a − b) to find 58² − 36².
26. 26.If a + b = 7 and ab = 6, what is a² + b²?
27. 27.Use (a − b)² = a² − 2ab + b² to find 83².
28. 28.If a − b = 3 and ab = 4, what is a² + b²?
29. 29.Use a² − b² = (a + b)(a − b) to find 43² − 18².
30. 30.Use (a + b)² = a² + 2ab + b² to find 75².
31. 31.Use a² − b² = (a + b)(a − b) to find 75² − 12².
32. 32.Use (a + b)² = a² + 2ab + b² to find 96².
33. 33.Use (a − b)² = a² − 2ab + b² to find 19².
34. 34.Use a² − b² = (a + b)(a − b) to find 54² − 43².
35. 35.Find the value of x² − 2xy + y² when x = 4 and y = 3.
36. 36.Use a² − b² = (a + b)(a − b) to find 75² − 29².
37. 37.Use (a + b)(a − b) = a² − b² to find 54 × 46.
38. 38.Use (a − b)² = a² − 2ab + b² to find 15².
39. 39.Use (a − b)² = a² − 2ab + b² to find 63².
40. 40.Use (a − b)² = a² − 2ab + b² to find 23².

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