Class 8 Maths Worksheet: Algebraic Identities

Maths worksheets lesson 61: Algebraic identities · Set 975 · 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)(a − b) = a² − b² to find 97 × 83.
2. 2.Find the value of x² − 2xy + y² when x = 14 and y = 5.
3. 3.Use a² − b² = (a + b)(a − b) to find 26² − 12².
4. 4.Use (a + b)² = a² + 2ab + b² to find 83².
5. 5.Use (a − b)² = a² − 2ab + b² to find 53².
6. 6.Use (a + b)² = a² + 2ab + b² to find 31².
7. 7.Find the value of x² − 2xy + y² when x = 12 and y = 8.
8. 8.Use (a − b)² = a² − 2ab + b² to find 36².
9. 9.Find the value of x² − 2xy + y² when x = 3 and y = 1.
10. 10.Find the value of x² + 2xy + y² when x = 15 and y = 8.
11. 11.Use a² − b² = (a + b)(a − b) to find 30² − 3².
12. 12.Use a² − b² = (a + b)(a − b) to find 31² − 3².
13. 13.Use (a + b)² = a² + 2ab + b² to find 42².
14. 14.Use (a + b)² = a² + 2ab + b² to find 78².
15. 15.Use a² − b² = (a + b)(a − b) to find 62² − 58².
16. 16.Find the value of x² − y² when x = 3 and y = 1.
17. 17.Use a² − b² = (a + b)(a − b) to find 71² − 38².
18. 18.Use a² − b² = (a + b)(a − b) to find 25² − 1².
19. 19.Use (a + b)² = a² + 2ab + b² to find 68².
20. 20.Use (a − b)² = a² − 2ab + b² to find 18².
21. 21.Use (a − b)² = a² − 2ab + b² to find 63².
22. 22.Use (a + b)² = a² + 2ab + b² to find 36².
23. 23.Find the value of x² − y² when x = 15 and y = 6.
24. 24.Use (a + b)(a − b) = a² − b² to find 104 × 96.
25. 25.Use a² − b² = (a + b)(a − b) to find 46² − 19².
26. 26.Use (a − b)² = a² − 2ab + b² to find 22².
27. 27.Use a² − b² = (a + b)(a − b) to find 78² − 48².
28. 28.Find the value of x² + 2xy + y² when x = 5 and y = 3.
29. 29.Use a² − b² = (a + b)(a − b) to find 59² − 10².
30. 30.Find the value of x² − y² when x = 14 and y = 4.
31. 31.Use a² − b² = (a + b)(a − b) to find 65² − 48².
32. 32.Use a² − b² = (a + b)(a − b) to find 46² − 45².
33. 33.Use (a − b)² = a² − 2ab + b² to find 71².
34. 34.Use (a + b)² = a² + 2ab + b² to find 98².
35. 35.Use (a − b)² = a² − 2ab + b² to find 96².
36. 36.Use (a + b)² = a² + 2ab + b² to find 101².
37. 37.Find the value of x² + 2xy + y² when x = 3 and y = 2.
38. 38.Use a² − b² = (a + b)(a − b) to find 55² − 25².
39. 39.Use (a − b)² = a² − 2ab + b² to find 76².
40. 40.Use (a + b)(a − b) = a² − b² to find 54 × 46.

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