Class 8 Maths Worksheet: Algebraic Identities

Maths worksheets lesson 61: Algebraic identities · Set 756 · 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 107².
2. 2.Use (a + b)² = a² + 2ab + b² to find 37².
3. 3.Find the value of x² + 2xy + y² when x = 4 and y = 2.
4. 4.Use a² − b² = (a + b)(a − b) to find 40² − 33².
5. 5.Find the value of x² + 2xy + y² when x = 14 and y = 5.
6. 6.Use (a + b)(a − b) = a² − b² to find 95 × 85.
7. 7.Find the value of x² − 2xy + y² when x = 3 and y = 2.
8. 8.If a + b = 4 and ab = 3, what is a² + b²?
9. 9.Find the value of x² − 2xy + y² when x = 15 and y = 3.
10. 10.Use (a − b)² = a² − 2ab + b² to find 33².
11. 11.Find the value of x² + 2xy + y² when x = 6 and y = 1.
12. 12.Use (a − b)² = a² − 2ab + b² to find 28².
13. 13.Use a² − b² = (a + b)(a − b) to find 89² − 29².
14. 14.Use (a − b)² = a² − 2ab + b² to find 58².
15. 15.If a + b = 7 and ab = 10, what is a² + b²?
16. 16.Use a² − b² = (a + b)(a − b) to find 20² − 15².
17. 17.Find the value of x² − 2xy + y² when x = 4 and y = 1.
18. 18.Use a² − b² = (a + b)(a − b) to find 74² − 42².
19. 19.Use (a − b)² = a² − 2ab + b² to find 44².
20. 20.Use (a + b)² = a² + 2ab + b² to find 86².
21. 21.Use a² − b² = (a + b)(a − b) to find 63² − 33².
22. 22.Find the value of x² − 2xy + y² when x = 10 and y = 5.
23. 23.Use (a + b)² = a² + 2ab + b² to find 103².
24. 24.Use a² − b² = (a + b)(a − b) to find 55² − 34².
25. 25.Use a² − b² = (a + b)(a − b) to find 58² − 36².
26. 26.If a − b = 4 and ab = 96, what is a² + b²?
27. 27.Find the value of x² − y² when x = 13 and y = 9.
28. 28.Use (a − b)² = a² − 2ab + b² to find 21².
29. 29.If a + b = 14 and ab = 40, what is a² + b²?
30. 30.Find the value of x² + 2xy + y² when x = 15 and y = 14.
31. 31.Use (a − b)² = a² − 2ab + b² to find 18².
32. 32.Use (a + b)² = a² + 2ab + b² to find 27².
33. 33.Use (a + b)² = a² + 2ab + b² to find 43².
34. 34.Use (a + b)² = a² + 2ab + b² to find 73².
35. 35.If a + b = 10 and ab = 21, what is a² + b²?
36. 36.Use a² − b² = (a + b)(a − b) to find 81² − 46².
37. 37.Use (a + b)² = a² + 2ab + b² to find 33².
38. 38.Use a² − b² = (a + b)(a − b) to find 99² − 10².
39. 39.Use a² − b² = (a + b)(a − b) to find 60² − 14².
40. 40.Use a² − b² = (a + b)(a − b) to find 21² − 8².

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