Class 8 Maths Worksheet: Algebraic Identities

Maths worksheets lesson 61: Algebraic identities · Set 202 · 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 66².
3. 3.Use (a + b)(a − b) = a² − b² to find 99 × 81.
4. 4.Find the value of x² − y² when x = 6 and y = 1.
5. 5.If a + b = 8 and ab = 12, what is a² + b²?
6. 6.Use (a − b)² = a² − 2ab + b² to find 99².
7. 7.Use (a − b)² = a² − 2ab + b² to find 72².
8. 8.Use a² − b² = (a + b)(a − b) to find 27² − 13².
9. 9.Use (a + b)(a − b) = a² − b² to find 49 × 31.
10. 10.Find the value of x² + 2xy + y² when x = 4 and y = 1.
11. 11.Use (a + b)(a − b) = a² − b² to find 102 × 98.
12. 12.Use (a − b)² = a² − 2ab + b² to find 45².
13. 13.Use (a + b)² = a² + 2ab + b² to find 102².
14. 14.Use (a − b)² = a² − 2ab + b² to find 57².
15. 15.Use (a + b)² = a² + 2ab + b² to find 24².
16. 16.If a + b = 13 and ab = 36, what is a² + b²?
17. 17.Find the value of x² − y² when x = 11 and y = 2.
18. 18.Use (a + b)(a − b) = a² − b² to find 96 × 84.
19. 19.If a − b = 1 and ab = 2, what is a² + b²?
20. 20.Use a² − b² = (a + b)(a − b) to find 77² − 24².
21. 21.Find the value of x² + 2xy + y² when x = 14 and y = 2.
22. 22.Find the value of x² − y² when x = 14 and y = 3.
23. 23.Use (a + b)(a − b) = a² − b² to find 108 × 92.
24. 24.Use (a − b)² = a² − 2ab + b² to find 43².
25. 25.Use (a + b)(a − b) = a² − b² to find 83 × 77.
26. 26.Use a² − b² = (a + b)(a − b) to find 79² − 41².
27. 27.If a − b = 1 and ab = 72, what is a² + b²?
28. 28.Find the value of x² − 2xy + y² when x = 8 and y = 2.
29. 29.Use (a + b)² = a² + 2ab + b² to find 44².
30. 30.Find the value of x² + 2xy + y² when x = 8 and y = 6.
31. 31.Use (a + b)² = a² + 2ab + b² to find 22².
32. 32.If a − b = 2 and ab = 35, what is a² + b²?
33. 33.Use (a − b)² = a² − 2ab + b² to find 95².
34. 34.Use (a + b)(a − b) = a² − b² to find 61 × 59.
35. 35.Use (a + b)(a − b) = a² − b² to find 107 × 93.
36. 36.Use (a − b)² = a² − 2ab + b² to find 39².
37. 37.If a − b = 3 and ab = 10, what is a² + b²?
38. 38.Use (a + b)(a − b) = a² − b² to find 22 × 18.
39. 39.Use (a + b)(a − b) = a² − b² to find 81 × 79.
40. 40.Use (a − b)² = a² − 2ab + b² to find 55².

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