Class 8 Maths Worksheet: Algebraic Identities

Maths worksheets lesson 61: Algebraic identities · Set 276 · 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 23².
2. 2.Use a² − b² = (a + b)(a − b) to find 65² − 12².
3. 3.Use (a + b)² = a² + 2ab + b² to find 51².
4. 4.Use a² − b² = (a + b)(a − b) to find 70² − 26².
5. 5.Use a² − b² = (a + b)(a − b) to find 45² − 36².
6. 6.Use (a + b)(a − b) = a² − b² to find 92 × 88.
7. 7.Use a² − b² = (a + b)(a − b) to find 80² − 54².
8. 8.Find the value of x² − y² when x = 15 and y = 8.
9. 9.Use (a + b)(a − b) = a² − b² to find 76 × 64.
10. 10.Use a² − b² = (a + b)(a − b) to find 76² − 19².
11. 11.Use a² − b² = (a + b)(a − b) to find 20² − 12².
12. 12.Use (a + b)(a − b) = a² − b² to find 26 × 14.
13. 13.If a − b = 3 and ab = 4, what is a² + b²?
14. 14.Use (a + b)² = a² + 2ab + b² to find 26².
15. 15.Use (a + b)² = a² + 2ab + b² to find 61².
16. 16.Use (a − b)² = a² − 2ab + b² to find 95².
17. 17.If a − b = 9 and ab = 22, what is a² + b²?
18. 18.Use (a + b)² = a² + 2ab + b² to find 69².
19. 19.Use (a + b)² = a² + 2ab + b² to find 28².
20. 20.Find the value of x² − 2xy + y² when x = 14 and y = 13.
21. 21.Find the value of x² − y² when x = 6 and y = 3.
22. 22.Find the value of x² + 2xy + y² when x = 5 and y = 1.
23. 23.Use (a + b)² = a² + 2ab + b² to find 101².
24. 24.Use a² − b² = (a + b)(a − b) to find 67² − 30².
25. 25.Find the value of x² − y² when x = 15 and y = 9.
26. 26.Use (a + b)(a − b) = a² − b² to find 39 × 21.
27. 27.Use (a − b)² = a² − 2ab + b² to find 39².
28. 28.Use (a − b)² = a² − 2ab + b² to find 91².
29. 29.Use (a + b)² = a² + 2ab + b² to find 52².
30. 30.If a − b = 3 and ab = 10, what is a² + b²?
31. 31.Use (a + b)² = a² + 2ab + b² to find 92².
32. 32.Find the value of x² + 2xy + y² when x = 4 and y = 2.
33. 33.Use (a − b)² = a² − 2ab + b² to find 82².
34. 34.If a − b = 1 and ab = 2, what is a² + b²?
35. 35.Use (a + b)² = a² + 2ab + b² to find 64².
36. 36.Use (a + b)(a − b) = a² − b² to find 51 × 49.
37. 37.Use (a + b)² = a² + 2ab + b² to find 94².
38. 38.Find the value of x² − 2xy + y² when x = 14 and y = 9.
39. 39.Use (a − b)² = a² − 2ab + b² to find 85².
40. 40.If a − b = 1 and ab = 110, what is a² + b²?

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