Class 8 Maths Worksheet: Algebraic Identities

Maths worksheets lesson 61: Algebraic identities · Set 587 · 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 (a − b)² = a² − 2ab + b² to find 26².
3. 3.Use (a + b)² = a² + 2ab + b² to find 94².
4. 4.Use (a + b)(a − b) = a² − b² to find 52 × 48.
5. 5.Use (a − b)² = a² − 2ab + b² to find 97².
6. 6.Use a² − b² = (a + b)(a − b) to find 52² − 17².
7. 7.Use a² − b² = (a + b)(a − b) to find 40² − 39².
8. 8.Use (a + b)² = a² + 2ab + b² to find 31².
9. 9.Use (a + b)² = a² + 2ab + b² to find 64².
10. 10.Use (a − b)² = a² − 2ab + b² to find 51².
11. 11.Use (a + b)(a − b) = a² − b² to find 91 × 89.
12. 12.Use (a + b)² = a² + 2ab + b² to find 53².
13. 13.Use a² − b² = (a + b)(a − b) to find 87² − 81².
14. 14.Use (a + b)² = a² + 2ab + b² to find 42².
15. 15.Use (a + b)² = a² + 2ab + b² to find 59².
16. 16.Use (a + b)(a − b) = a² − b² to find 46 × 34.
17. 17.Use (a + b)² = a² + 2ab + b² to find 96².
18. 18.Use (a + b)(a − b) = a² − b² to find 86 × 74.
19. 19.Use (a − b)² = a² − 2ab + b² to find 87².
20. 20.Find the value of x² − y² when x = 6 and y = 3.
21. 21.If a − b = 10 and ab = 24, what is a² + b²?
22. 22.Use (a + b)(a − b) = a² − b² to find 67 × 53.
23. 23.Use (a + b)(a − b) = a² − b² to find 35 × 25.
24. 24.Use (a + b)(a − b) = a² − b² to find 97 × 83.
25. 25.Use (a + b)² = a² + 2ab + b² to find 38².
26. 26.Use (a + b)² = a² + 2ab + b² to find 36².
27. 27.Use (a + b)² = a² + 2ab + b² to find 93².
28. 28.If a − b = 7 and ab = 60, what is a² + b²?
29. 29.If a + b = 7 and ab = 12, what is a² + b²?
30. 30.Use (a + b)² = a² + 2ab + b² to find 12².
31. 31.Find the value of x² + 2xy + y² when x = 8 and y = 3.
32. 32.Use (a + b)(a − b) = a² − b² to find 61 × 59.
33. 33.Use (a − b)² = a² − 2ab + b² to find 98².
34. 34.Use a² − b² = (a + b)(a − b) to find 32² − 7².
35. 35.If a − b = 9 and ab = 10, what is a² + b²?
36. 36.Use (a + b)² = a² + 2ab + b² to find 23².
37. 37.Use (a + b)² = a² + 2ab + b² to find 25².
38. 38.If a + b = 23 and ab = 132, what is a² + b²?
39. 39.Find the value of x² + 2xy + y² when x = 4 and y = 1.
40. 40.Use (a − b)² = a² − 2ab + b² to find 93².

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