Class 8 Maths Worksheet: Algebraic Identities

Maths worksheets lesson 61: Algebraic identities · Set 536 · 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 73².
2. 2.Use (a + b)(a − b) = a² − b² to find 102 × 98.
3. 3.Use (a + b)² = a² + 2ab + b² to find 56².
4. 4.Find the value of x² − 2xy + y² when x = 4 and y = 3.
5. 5.Use (a − b)² = a² − 2ab + b² to find 73².
6. 6.Use (a + b)² = a² + 2ab + b² to find 104².
7. 7.Use (a + b)² = a² + 2ab + b² to find 14².
8. 8.Use (a + b)(a − b) = a² − b² to find 34 × 26.
9. 9.Use (a − b)² = a² − 2ab + b² to find 14².
10. 10.Use a² − b² = (a + b)(a − b) to find 54² − 9².
11. 11.If a − b = 4 and ab = 45, what is a² + b²?
12. 12.Find the value of x² − 2xy + y² when x = 12 and y = 7.
13. 13.Use (a − b)² = a² − 2ab + b² to find 38².
14. 14.If a + b = 9 and ab = 18, what is a² + b²?
15. 15.Use (a + b)² = a² + 2ab + b² to find 65².
16. 16.If a + b = 5 and ab = 4, what is a² + b²?
17. 17.Use (a + b)(a − b) = a² − b² to find 37 × 23.
18. 18.Find the value of x² − y² when x = 11 and y = 3.
19. 19.Use (a + b)² = a² + 2ab + b² to find 85².
20. 20.Use (a + b)² = a² + 2ab + b² to find 27².
21. 21.Use (a + b)² = a² + 2ab + b² to find 95².
22. 22.Use a² − b² = (a + b)(a − b) to find 74² − 68².
23. 23.Use (a − b)² = a² − 2ab + b² to find 31².
24. 24.Use (a + b)² = a² + 2ab + b² to find 17².
25. 25.Use (a + b)² = a² + 2ab + b² to find 35².
26. 26.Use (a − b)² = a² − 2ab + b² to find 35².
27. 27.If a + b = 15 and ab = 54, what is a² + b²?
28. 28.Use (a + b)(a − b) = a² − b² to find 68 × 52.
29. 29.Use (a + b)² = a² + 2ab + b² to find 29².
30. 30.Use (a + b)² = a² + 2ab + b² to find 67².
31. 31.If a − b = 1 and ab = 6, what is a² + b²?
32. 32.Use (a + b)² = a² + 2ab + b² to find 69².
33. 33.Find the value of x² − y² when x = 14 and y = 3.
34. 34.If a − b = 1 and ab = 12, what is a² + b²?
35. 35.Use (a + b)(a − b) = a² − b² to find 46 × 34.
36. 36.Use a² − b² = (a + b)(a − b) to find 77² − 40².
37. 37.Find the value of x² − 2xy + y² when x = 7 and y = 4.
38. 38.Use a² − b² = (a + b)(a − b) to find 22² − 21².
39. 39.If a + b = 5 and ab = 6, what is a² + b²?
40. 40.Use (a + b)² = a² + 2ab + b² to find 52².

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