Class 8 Maths Worksheet: Algebraic Identities

Maths worksheets lesson 61: Algebraic identities · Set 517 · 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 95².
2. 2.Use (a − b)² = a² − 2ab + b² to find 73².
3. 3.If a + b = 12 and ab = 11, what is a² + b²?
4. 4.Use (a + b)² = a² + 2ab + b² to find 106².
5. 5.Use (a + b)² = a² + 2ab + b² to find 38².
6. 6.If a + b = 19 and ab = 88, what is a² + b²?
7. 7.Use (a − b)² = a² − 2ab + b² to find 24².
8. 8.Use a² − b² = (a + b)(a − b) to find 89² − 48².
9. 9.Use a² − b² = (a + b)(a − b) to find 53² − 33².
10. 10.Use a² − b² = (a + b)(a − b) to find 92² − 30².
11. 11.Use (a + b)(a − b) = a² − b² to find 102 × 98.
12. 12.Find the value of x² − y² when x = 10 and y = 1.
13. 13.Use a² − b² = (a + b)(a − b) to find 42² − 17².
14. 14.Find the value of x² − y² when x = 12 and y = 2.
15. 15.Use (a + b)² = a² + 2ab + b² to find 57².
16. 16.Use (a + b)(a − b) = a² − b² to find 41 × 39.
17. 17.Use (a + b)(a − b) = a² − b² to find 101 × 99.
18. 18.Use (a + b)² = a² + 2ab + b² to find 81².
19. 19.Use (a + b)(a − b) = a² − b² to find 27 × 13.
20. 20.Use (a − b)² = a² − 2ab + b² to find 26².
21. 21.Use (a + b)² = a² + 2ab + b² to find 82².
22. 22.Use (a + b)(a − b) = a² − b² to find 39 × 21.
23. 23.Use (a − b)² = a² − 2ab + b² to find 85².
24. 24.Use (a + b)(a − b) = a² − b² to find 24 × 16.
25. 25.Use (a + b)(a − b) = a² − b² to find 103 × 97.
26. 26.Use a² − b² = (a + b)(a − b) to find 91² − 78².
27. 27.Use (a − b)² = a² − 2ab + b² to find 42².
28. 28.Use (a + b)² = a² + 2ab + b² to find 43².
29. 29.Use (a − b)² = a² − 2ab + b² to find 59².
30. 30.Use (a + b)² = a² + 2ab + b² to find 44².
31. 31.Use a² − b² = (a + b)(a − b) to find 55² − 43².
32. 32.Find the value of x² − y² when x = 12 and y = 5.
33. 33.Find the value of x² + 2xy + y² when x = 10 and y = 3.
34. 34.Use a² − b² = (a + b)(a − b) to find 70² − 52².
35. 35.Use (a + b)(a − b) = a² − b² to find 83 × 77.
36. 36.If a + b = 3 and ab = 2, what is a² + b²?
37. 37.Use (a − b)² = a² − 2ab + b² to find 35².
38. 38.Use (a + b)(a − b) = a² − b² to find 44 × 36.
39. 39.Use (a − b)² = a² − 2ab + b² to find 13².
40. 40.Use (a + b)² = a² + 2ab + b² to find 17².

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