Class 8 Maths Worksheet: Algebraic Identities

Maths worksheets lesson 61: Algebraic identities · Set 910 · 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 44².
2. 2.Use a² − b² = (a + b)(a − b) to find 46² − 6².
3. 3.Use a² − b² = (a + b)(a − b) to find 77² − 23².
4. 4.Use (a + b)² = a² + 2ab + b² to find 97².
5. 5.Find the value of x² + 2xy + y² when x = 4 and y = 2.
6. 6.Find the value of x² − y² when x = 15 and y = 13.
7. 7.Use (a + b)(a − b) = a² − b² to find 56 × 44.
8. 8.If a + b = 15 and ab = 54, what is a² + b²?
9. 9.Use a² − b² = (a + b)(a − b) to find 32² − 18².
10. 10.Use (a + b)² = a² + 2ab + b² to find 18².
11. 11.Use (a + b)(a − b) = a² − b² to find 81 × 79.
12. 12.Use (a + b)(a − b) = a² − b² to find 63 × 57.
13. 13.If a + b = 7 and ab = 12, what is a² + b²?
14. 14.Use a² − b² = (a + b)(a − b) to find 20² − 8².
15. 15.Use a² − b² = (a + b)(a − b) to find 93² − 24².
16. 16.Use (a + b)(a − b) = a² − b² to find 104 × 96.
17. 17.If a − b = 3 and ab = 88, what is a² + b²?
18. 18.Use (a − b)² = a² − 2ab + b² to find 45².
19. 19.Use (a + b)² = a² + 2ab + b² to find 95².
20. 20.Use (a + b)² = a² + 2ab + b² to find 71².
21. 21.If a − b = 1 and ab = 12, what is a² + b²?
22. 22.Use a² − b² = (a + b)(a − b) to find 35² − 25².
23. 23.Use (a + b)(a − b) = a² − b² to find 36 × 24.
24. 24.Use (a + b)² = a² + 2ab + b² to find 49².
25. 25.If a + b = 3 and ab = 2, what is a² + b²?
26. 26.Use (a − b)² = a² − 2ab + b² to find 14².
27. 27.Use a² − b² = (a + b)(a − b) to find 36² − 17².
28. 28.Use (a − b)² = a² − 2ab + b² to find 36².
29. 29.Find the value of x² − y² when x = 6 and y = 1.
30. 30.Use (a − b)² = a² − 2ab + b² to find 13².
31. 31.Use (a + b)² = a² + 2ab + b² to find 91².
32. 32.Use (a − b)² = a² − 2ab + b² to find 65².
33. 33.Use a² − b² = (a + b)(a − b) to find 82² − 15².
34. 34.Use (a + b)(a − b) = a² − b² to find 21 × 19.
35. 35.Use (a + b)² = a² + 2ab + b² to find 59².
36. 36.Use (a + b)² = a² + 2ab + b² to find 69².
37. 37.Find the value of x² + 2xy + y² when x = 10 and y = 2.
38. 38.Use a² − b² = (a + b)(a − b) to find 80² − 36².
39. 39.Find the value of x² + 2xy + y² when x = 9 and y = 1.
40. 40.Use (a − b)² = a² − 2ab + b² to find 31².

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