Class 8 Maths Worksheet: Algebraic Identities

Maths worksheets lesson 61: Algebraic identities · Set 377 · 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 48².
2. 2.Use a² − b² = (a + b)(a − b) to find 67² − 57².
3. 3.Use a² − b² = (a + b)(a − b) to find 85² − 78².
4. 4.Use a² − b² = (a + b)(a − b) to find 41² − 40².
5. 5.Use (a + b)(a − b) = a² − b² to find 27 × 13.
6. 6.Use (a − b)² = a² − 2ab + b² to find 94².
7. 7.Use (a + b)² = a² + 2ab + b² to find 84².
8. 8.Use (a + b)² = a² + 2ab + b² to find 59².
9. 9.Use (a + b)² = a² + 2ab + b² to find 94².
10. 10.Use a² − b² = (a + b)(a − b) to find 93² − 92².
11. 11.Use (a − b)² = a² − 2ab + b² to find 14².
12. 12.Use (a − b)² = a² − 2ab + b² to find 15².
13. 13.Use a² − b² = (a + b)(a − b) to find 77² − 45².
14. 14.Use a² − b² = (a + b)(a − b) to find 74² − 50².
15. 15.Use (a − b)² = a² − 2ab + b² to find 26².
16. 16.Find the value of x² + 2xy + y² when x = 15 and y = 13.
17. 17.Use (a − b)² = a² − 2ab + b² to find 57².
18. 18.Use (a + b)² = a² + 2ab + b² to find 74².
19. 19.Use (a − b)² = a² − 2ab + b² to find 22².
20. 20.Use (a + b)(a − b) = a² − b² to find 46 × 34.
21. 21.Use (a + b)² = a² + 2ab + b² to find 71².
22. 22.Use a² − b² = (a + b)(a − b) to find 90² − 43².
23. 23.Use (a − b)² = a² − 2ab + b² to find 23².
24. 24.Use (a + b)² = a² + 2ab + b² to find 63².
25. 25.Use (a + b)(a − b) = a² − b² to find 23 × 17.
26. 26.If a − b = 5 and ab = 14, what is a² + b²?
27. 27.Find the value of x² − y² when x = 9 and y = 6.
28. 28.Use (a − b)² = a² − 2ab + b² to find 31².
29. 29.Use (a − b)² = a² − 2ab + b² to find 91².
30. 30.Use (a + b)² = a² + 2ab + b² to find 33².
31. 31.Use (a + b)² = a² + 2ab + b² to find 26².
32. 32.Find the value of x² − 2xy + y² when x = 3 and y = 1.
33. 33.Use (a + b)² = a² + 2ab + b² to find 105².
34. 34.Use a² − b² = (a + b)(a − b) to find 77² − 74².
35. 35.Use (a + b)² = a² + 2ab + b² to find 45².
36. 36.Use (a − b)² = a² − 2ab + b² to find 74².
37. 37.Use a² − b² = (a + b)(a − b) to find 35² − 11².
38. 38.Use (a + b)² = a² + 2ab + b² to find 24².
39. 39.Use (a + b)(a − b) = a² − b² to find 49 × 31.
40. 40.Find the value of x² + 2xy + y² when x = 13 and y = 5.

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