Class 8 Maths Worksheet: Algebraic Identities

Maths worksheets lesson 61: Algebraic identities · Set 596 · 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 26².
2. 2.Use (a + b)² = a² + 2ab + b² to find 25².
3. 3.Use (a + b)² = a² + 2ab + b² to find 42².
4. 4.Use (a + b)² = a² + 2ab + b² to find 12².
5. 5.Use (a − b)² = a² − 2ab + b² to find 63².
6. 6.Use (a − b)² = a² − 2ab + b² to find 59².
7. 7.Use a² − b² = (a + b)(a − b) to find 27² − 9².
8. 8.Use a² − b² = (a + b)(a − b) to find 87² − 69².
9. 9.Use (a − b)² = a² − 2ab + b² to find 21².
10. 10.Use (a − b)² = a² − 2ab + b² to find 87².
11. 11.Use (a + b)(a − b) = a² − b² to find 42 × 38.
12. 12.Use (a + b)(a − b) = a² − b² to find 71 × 69.
13. 13.If a − b = 6 and ab = 55, what is a² + b²?
14. 14.Find the value of x² − y² when x = 6 and y = 2.
15. 15.Use (a − b)² = a² − 2ab + b² to find 35².
16. 16.Use (a − b)² = a² − 2ab + b² to find 89².
17. 17.Use (a − b)² = a² − 2ab + b² to find 51².
18. 18.Use (a − b)² = a² − 2ab + b² to find 38².
19. 19.Use a² − b² = (a + b)(a − b) to find 69² − 31².
20. 20.Use (a + b)² = a² + 2ab + b² to find 96².
21. 21.Use a² − b² = (a + b)(a − b) to find 87² − 16².
22. 22.Use (a − b)² = a² − 2ab + b² to find 43².
23. 23.Use (a + b)² = a² + 2ab + b² to find 95².
24. 24.Use (a + b)(a − b) = a² − b² to find 57 × 43.
25. 25.Use (a − b)² = a² − 2ab + b² to find 55².
26. 26.Use (a + b)(a − b) = a² − b² to find 21 × 19.
27. 27.Use (a + b)² = a² + 2ab + b² to find 29².
28. 28.Find the value of x² + 2xy + y² when x = 7 and y = 4.
29. 29.Find the value of x² + 2xy + y² when x = 12 and y = 10.
30. 30.Use (a − b)² = a² − 2ab + b² to find 56².
31. 31.If a + b = 18 and ab = 77, what is a² + b²?
32. 32.Use (a + b)(a − b) = a² − b² to find 27 × 13.
33. 33.Use (a + b)² = a² + 2ab + b² to find 61².
34. 34.Use (a + b)² = a² + 2ab + b² to find 51².
35. 35.Use a² − b² = (a + b)(a − b) to find 49² − 35².
36. 36.Use (a − b)² = a² − 2ab + b² to find 16².
37. 37.Find the value of x² − 2xy + y² when x = 7 and y = 6.
38. 38.Use (a − b)² = a² − 2ab + b² to find 22².
39. 39.Use (a + b)² = a² + 2ab + b² to find 65².
40. 40.Use (a − b)² = a² − 2ab + b² to find 17².

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