Class 8 Maths Worksheet: Algebraic Identities

Maths worksheets lesson 61: Algebraic identities · Set 564 · 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 28².
2. 2.Use (a − b)² = a² − 2ab + b² to find 69².
3. 3.Use (a − b)² = a² − 2ab + b² to find 11².
4. 4.Use (a − b)² = a² − 2ab + b² to find 46².
5. 5.Find the value of x² − y² when x = 7 and y = 2.
6. 6.Use a² − b² = (a + b)(a − b) to find 98² − 44².
7. 7.Use (a − b)² = a² − 2ab + b² to find 23².
8. 8.Use (a + b)² = a² + 2ab + b² to find 52².
9. 9.Use (a + b)(a − b) = a² − b² to find 29 × 11.
10. 10.Use (a + b)² = a² + 2ab + b² to find 93².
11. 11.If a + b = 11 and ab = 30, what is a² + b²?
12. 12.Use a² − b² = (a + b)(a − b) to find 36² − 19².
13. 13.Use (a − b)² = a² − 2ab + b² to find 68².
14. 14.Use (a + b)² = a² + 2ab + b² to find 82².
15. 15.Use a² − b² = (a + b)(a − b) to find 24² − 3².
16. 16.Find the value of x² − y² when x = 13 and y = 4.
17. 17.Use (a − b)² = a² − 2ab + b² to find 77².
18. 18.Use (a + b)² = a² + 2ab + b² to find 71².
19. 19.Use (a − b)² = a² − 2ab + b² to find 49².
20. 20.Find the value of x² − y² when x = 10 and y = 9.
21. 21.Find the value of x² − 2xy + y² when x = 4 and y = 1.
22. 22.Find the value of x² − 2xy + y² when x = 14 and y = 7.
23. 23.Find the value of x² + 2xy + y² when x = 5 and y = 1.
24. 24.If a + b = 4 and ab = 3, what is a² + b²?
25. 25.Use (a − b)² = a² − 2ab + b² to find 33².
26. 26.Use a² − b² = (a + b)(a − b) to find 98² − 64².
27. 27.Find the value of x² − y² when x = 3 and y = 2.
28. 28.Find the value of x² − 2xy + y² when x = 15 and y = 7.
29. 29.Find the value of x² − 2xy + y² when x = 6 and y = 3.
30. 30.Use (a + b)² = a² + 2ab + b² to find 39².
31. 31.Use (a + b)² = a² + 2ab + b² to find 59².
32. 32.If a − b = 2 and ab = 8, what is a² + b²?
33. 33.Use (a − b)² = a² − 2ab + b² to find 26².
34. 34.Use a² − b² = (a + b)(a − b) to find 95² − 53².
35. 35.Use a² − b² = (a + b)(a − b) to find 79² − 15².
36. 36.Find the value of x² + 2xy + y² when x = 8 and y = 2.
37. 37.Use (a − b)² = a² − 2ab + b² to find 21².
38. 38.Use (a + b)(a − b) = a² − b² to find 49 × 31.
39. 39.Use (a + b)² = a² + 2ab + b² to find 14².
40. 40.Use (a + b)² = a² + 2ab + b² to find 102².

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