Class 8 Maths Worksheet: Algebraic Identities

Maths worksheets lesson 61: Algebraic identities · Set 544 · 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 34².
2. 2.Use (a + b)(a − b) = a² − b² to find 47 × 33.
3. 3.Find the value of x² + 2xy + y² when x = 9 and y = 5.
4. 4.Use (a + b)² = a² + 2ab + b² to find 52².
5. 5.Find the value of x² + 2xy + y² when x = 14 and y = 7.
6. 6.Use (a + b)² = a² + 2ab + b² to find 59².
7. 7.Use (a + b)(a − b) = a² − b² to find 46 × 34.
8. 8.Use (a − b)² = a² − 2ab + b² to find 83².
9. 9.Use a² − b² = (a + b)(a − b) to find 89² − 33².
10. 10.Find the value of x² − 2xy + y² when x = 9 and y = 2.
11. 11.If a − b = 2 and ab = 3, what is a² + b²?
12. 12.Use (a + b)² = a² + 2ab + b² to find 51².
13. 13.Use a² − b² = (a + b)(a − b) to find 41² − 2².
14. 14.Find the value of x² − y² when x = 6 and y = 1.
15. 15.Find the value of x² + 2xy + y² when x = 6 and y = 4.
16. 16.Use (a + b)² = a² + 2ab + b² to find 85².
17. 17.Use (a − b)² = a² − 2ab + b² to find 69².
18. 18.Use (a + b)² = a² + 2ab + b² to find 11².
19. 19.Use a² − b² = (a + b)(a − b) to find 25² − 5².
20. 20.Find the value of x² − y² when x = 13 and y = 4.
21. 21.Use (a + b)(a − b) = a² − b² to find 43 × 37.
22. 22.Use (a + b)² = a² + 2ab + b² to find 23².
23. 23.Find the value of x² − y² when x = 4 and y = 2.
24. 24.Use (a + b)(a − b) = a² − b² to find 82 × 78.
25. 25.Use (a − b)² = a² − 2ab + b² to find 76².
26. 26.Use (a + b)(a − b) = a² − b² to find 76 × 64.
27. 27.Use (a − b)² = a² − 2ab + b² to find 15².
28. 28.Use (a + b)² = a² + 2ab + b² to find 77².
29. 29.Use a² − b² = (a + b)(a − b) to find 82² − 12².
30. 30.Use (a + b)² = a² + 2ab + b² to find 45².
31. 31.Use a² − b² = (a + b)(a − b) to find 90² − 18².
32. 32.Use (a − b)² = a² − 2ab + b² to find 99².
33. 33.Find the value of x² − y² when x = 15 and y = 7.
34. 34.If a + b = 15 and ab = 54, what is a² + b²?
35. 35.Use a² − b² = (a + b)(a − b) to find 58² − 38².
36. 36.Find the value of x² + 2xy + y² when x = 3 and y = 1.
37. 37.Use (a + b)² = a² + 2ab + b² to find 88².
38. 38.Use a² − b² = (a + b)(a − b) to find 83² − 74².
39. 39.Use (a + b)(a − b) = a² − b² to find 69 × 51.
40. 40.Use (a + b)² = a² + 2ab + b² to find 49².

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