Class 8 Maths Worksheet: Algebraic Identities

Maths worksheets lesson 61: Algebraic identities · Set 534 · 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 83².
2. 2.Use a² − b² = (a + b)(a − b) to find 96² − 25².
3. 3.Use a² − b² = (a + b)(a − b) to find 36² − 20².
4. 4.Use (a + b)² = a² + 2ab + b² to find 59².
5. 5.Use (a − b)² = a² − 2ab + b² to find 64².
6. 6.Use (a − b)² = a² − 2ab + b² to find 18².
7. 7.Use a² − b² = (a + b)(a − b) to find 24² − 12².
8. 8.Use (a + b)(a − b) = a² − b² to find 64 × 56.
9. 9.Find the value of x² − y² when x = 6 and y = 1.
10. 10.If a + b = 16 and ab = 63, what is a² + b²?
11. 11.Use (a + b)(a − b) = a² − b² to find 96 × 84.
12. 12.Use (a + b)² = a² + 2ab + b² to find 27².
13. 13.Use (a + b)² = a² + 2ab + b² to find 83².
14. 14.If a − b = 6 and ab = 7, what is a² + b²?
15. 15.Use (a + b)² = a² + 2ab + b² to find 98².
16. 16.Find the value of x² − 2xy + y² when x = 8 and y = 7.
17. 17.Use (a + b)² = a² + 2ab + b² to find 88².
18. 18.Use (a + b)² = a² + 2ab + b² to find 86².
19. 19.Find the value of x² + 2xy + y² when x = 6 and y = 3.
20. 20.Use (a + b)(a − b) = a² − b² to find 83 × 77.
21. 21.Use a² − b² = (a + b)(a − b) to find 91² − 42².
22. 22.Use (a + b)(a − b) = a² − b² to find 47 × 33.
23. 23.If a + b = 14 and ab = 48, what is a² + b²?
24. 24.Use a² − b² = (a + b)(a − b) to find 91² − 59².
25. 25.Find the value of x² − 2xy + y² when x = 15 and y = 2.
26. 26.Use (a + b)² = a² + 2ab + b² to find 25².
27. 27.Use (a + b)(a − b) = a² − b² to find 24 × 16.
28. 28.Use (a + b)² = a² + 2ab + b² to find 34².
29. 29.If a − b = 2 and ab = 80, what is a² + b²?
30. 30.Use a² − b² = (a + b)(a − b) to find 85² − 42².
31. 31.If a + b = 5 and ab = 6, what is a² + b²?
32. 32.Use (a − b)² = a² − 2ab + b² to find 66².
33. 33.Use a² − b² = (a + b)(a − b) to find 38² − 11².
34. 34.Use (a + b)(a − b) = a² − b² to find 93 × 87.
35. 35.Use (a + b)² = a² + 2ab + b² to find 55².
36. 36.Use (a + b)² = a² + 2ab + b² to find 16².
37. 37.Find the value of x² − y² when x = 5 and y = 4.
38. 38.Use a² − b² = (a + b)(a − b) to find 26² − 14².
39. 39.Use (a + b)² = a² + 2ab + b² to find 84².
40. 40.Use (a + b)² = a² + 2ab + b² to find 13².

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