Class 8 Maths Worksheet: Algebraic Identities

Maths worksheets lesson 61: Algebraic identities · Set 604 · 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.If a + b = 5 and ab = 6, what is a² + b²?
3. 3.Use (a + b)(a − b) = a² − b² to find 59 × 41.
4. 4.Use (a + b)² = a² + 2ab + b² to find 13².
5. 5.Use (a + b)(a − b) = a² − b² to find 29 × 11.
6. 6.Use a² − b² = (a + b)(a − b) to find 24² − 15².
7. 7.Use (a + b)² = a² + 2ab + b² to find 39².
8. 8.Use (a + b)² = a² + 2ab + b² to find 86².
9. 9.Use (a − b)² = a² − 2ab + b² to find 96².
10. 10.Find the value of x² − y² when x = 5 and y = 4.
11. 11.Use (a + b)² = a² + 2ab + b² to find 54².
12. 12.Use (a − b)² = a² − 2ab + b² to find 94².
13. 13.Use (a + b)(a − b) = a² − b² to find 45 × 35.
14. 14.Use (a + b)(a − b) = a² − b² to find 54 × 46.
15. 15.Use (a + b)(a − b) = a² − b² to find 47 × 33.
16. 16.Use a² − b² = (a + b)(a − b) to find 88² − 56².
17. 17.Find the value of x² + 2xy + y² when x = 8 and y = 4.
18. 18.Use a² − b² = (a + b)(a − b) to find 63² − 21².
19. 19.Use a² − b² = (a + b)(a − b) to find 76² − 22².
20. 20.If a + b = 17 and ab = 72, what is a² + b²?
21. 21.Use (a + b)(a − b) = a² − b² to find 62 × 58.
22. 22.Use (a + b)(a − b) = a² − b² to find 71 × 69.
23. 23.If a + b = 13 and ab = 40, what is a² + b²?
24. 24.Use (a + b)² = a² + 2ab + b² to find 55².
25. 25.Use (a + b)² = a² + 2ab + b² to find 107².
26. 26.Use (a + b)² = a² + 2ab + b² to find 47².
27. 27.If a − b = 7 and ab = 44, what is a² + b²?
28. 28.Use (a − b)² = a² − 2ab + b² to find 37².
29. 29.Use (a + b)² = a² + 2ab + b² to find 88².
30. 30.Use a² − b² = (a + b)(a − b) to find 39² − 12².
31. 31.Use (a + b)² = a² + 2ab + b² to find 62².
32. 32.Use a² − b² = (a + b)(a − b) to find 93² − 29².
33. 33.Use (a − b)² = a² − 2ab + b² to find 58².
34. 34.Find the value of x² − y² when x = 15 and y = 9.
35. 35.If a − b = 8 and ab = 48, what is a² + b²?
36. 36.Use (a + b)² = a² + 2ab + b² to find 92².
37. 37.Use a² − b² = (a + b)(a − b) to find 68² − 33².
38. 38.Use (a + b)(a − b) = a² − b² to find 31 × 29.
39. 39.Use (a + b)² = a² + 2ab + b² to find 85².
40. 40.Use (a + b)² = a² + 2ab + b² to find 45².

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