Class 8 Maths Worksheet: Algebraic Identities

Maths worksheets lesson 61: Algebraic identities · Set 864 · 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 97².
2. 2.Use (a − b)² = a² − 2ab + b² to find 17².
3. 3.Find the value of x² − 2xy + y² when x = 6 and y = 2.
4. 4.Use (a + b)² = a² + 2ab + b² to find 37².
5. 5.Use (a + b)² = a² + 2ab + b² to find 97².
6. 6.If a + b = 10 and ab = 21, what is a² + b²?
7. 7.Use (a + b)² = a² + 2ab + b² to find 21².
8. 8.Use (a − b)² = a² − 2ab + b² to find 24².
9. 9.Find the value of x² − y² when x = 9 and y = 4.
10. 10.Use (a + b)² = a² + 2ab + b² to find 23².
11. 11.Use (a + b)² = a² + 2ab + b² to find 22².
12. 12.Use (a − b)² = a² − 2ab + b² to find 46².
13. 13.Use (a + b)² = a² + 2ab + b² to find 13².
14. 14.Use (a − b)² = a² − 2ab + b² to find 76².
15. 15.Use (a + b)² = a² + 2ab + b² to find 38².
16. 16.Use (a + b)(a − b) = a² − b² to find 109 × 91.
17. 17.Use (a − b)² = a² − 2ab + b² to find 38².
18. 18.If a − b = 9 and ab = 10, what is a² + b²?
19. 19.Use a² − b² = (a + b)(a − b) to find 71² − 60².
20. 20.Use (a + b)² = a² + 2ab + b² to find 17².
21. 21.If a − b = 11 and ab = 12, what is a² + b²?
22. 22.Use (a + b)² = a² + 2ab + b² to find 56².
23. 23.If a + b = 5 and ab = 4, what is a² + b²?
24. 24.Use (a − b)² = a² − 2ab + b² to find 11².
25. 25.Use (a + b)(a − b) = a² − b² to find 82 × 78.
26. 26.Use (a + b)² = a² + 2ab + b² to find 105².
27. 27.Use (a + b)² = a² + 2ab + b² to find 86².
28. 28.Find the value of x² − y² when x = 14 and y = 8.
29. 29.If a + b = 11 and ab = 30, what is a² + b²?
30. 30.Use a² − b² = (a + b)(a − b) to find 72² − 40².
31. 31.Use (a + b)² = a² + 2ab + b² to find 95².
32. 32.Find the value of x² − y² when x = 6 and y = 4.
33. 33.If a − b = 5 and ab = 66, what is a² + b²?
34. 34.If a + b = 19 and ab = 88, what is a² + b²?
35. 35.Use (a + b)(a − b) = a² − b² to find 107 × 93.
36. 36.Use (a + b)(a − b) = a² − b² to find 91 × 89.
37. 37.Use a² − b² = (a + b)(a − b) to find 59² − 51².
38. 38.Use a² − b² = (a + b)(a − b) to find 24² − 17².
39. 39.Use (a + b)(a − b) = a² − b² to find 35 × 25.
40. 40.Use (a + b)² = a² + 2ab + b² to find 45².

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