Class 8 Maths Worksheet: Algebraic Identities

Maths worksheets lesson 61: Algebraic identities · Set 343 · 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 93².
2. 2.Use a² − b² = (a + b)(a − b) to find 75² − 48².
3. 3.Use a² − b² = (a + b)(a − b) to find 49² − 47².
4. 4.Use (a + b)(a − b) = a² − b² to find 73 × 67.
5. 5.Use (a − b)² = a² − 2ab + b² to find 46².
6. 6.Find the value of x² − y² when x = 9 and y = 3.
7. 7.Use (a + b)² = a² + 2ab + b² to find 33².
8. 8.Find the value of x² − 2xy + y² when x = 10 and y = 2.
9. 9.Use a² − b² = (a + b)(a − b) to find 42² − 40².
10. 10.Use (a + b)² = a² + 2ab + b² to find 78².
11. 11.Use (a + b)(a − b) = a² − b² to find 33 × 27.
12. 12.Use (a − b)² = a² − 2ab + b² to find 59².
13. 13.Use (a + b)² = a² + 2ab + b² to find 19².
14. 14.Use (a + b)(a − b) = a² − b² to find 82 × 78.
15. 15.Use (a + b)(a − b) = a² − b² to find 91 × 89.
16. 16.Use (a + b)² = a² + 2ab + b² to find 21².
17. 17.Find the value of x² − y² when x = 12 and y = 10.
18. 18.Use (a + b)² = a² + 2ab + b² to find 26².
19. 19.Use (a + b)(a − b) = a² − b² to find 58 × 42.
20. 20.Use a² − b² = (a + b)(a − b) to find 48² − 7².
21. 21.Use a² − b² = (a + b)(a − b) to find 21² − 17².
22. 22.Use (a + b)² = a² + 2ab + b² to find 16².
23. 23.Use (a + b)(a − b) = a² − b² to find 54 × 46.
24. 24.Use (a − b)² = a² − 2ab + b² to find 82².
25. 25.Find the value of x² − 2xy + y² when x = 10 and y = 4.
26. 26.Use (a − b)² = a² − 2ab + b² to find 74².
27. 27.If a + b = 14 and ab = 33, what is a² + b²?
28. 28.Find the value of x² − y² when x = 4 and y = 2.
29. 29.Use a² − b² = (a + b)(a − b) to find 69² − 19².
30. 30.Use (a + b)(a − b) = a² − b² to find 39 × 21.
31. 31.If a + b = 4 and ab = 3, what is a² + b²?
32. 32.Find the value of x² − y² when x = 7 and y = 3.
33. 33.Use (a + b)(a − b) = a² − b² to find 81 × 79.
34. 34.Use (a + b)² = a² + 2ab + b² to find 41².
35. 35.Use (a − b)² = a² − 2ab + b² to find 52².
36. 36.Use (a + b)² = a² + 2ab + b² to find 12².
37. 37.Use a² − b² = (a + b)(a − b) to find 83² − 7².
38. 38.Use (a − b)² = a² − 2ab + b² to find 84².
39. 39.Use (a − b)² = a² − 2ab + b² to find 38².
40. 40.Find the value of x² − 2xy + y² when x = 12 and y = 3.

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