Class 8 Maths Worksheet: Algebraic Identities

Maths worksheets lesson 61: Algebraic identities · Set 154 · 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)(a − b) = a² − b² to find 105 × 95.
2. 2.Use (a + b)(a − b) = a² − b² to find 62 × 58.
3. 3.Use (a + b)² = a² + 2ab + b² to find 12².
4. 4.Use a² − b² = (a + b)(a − b) to find 81² − 23².
5. 5.Use (a − b)² = a² − 2ab + b² to find 68².
6. 6.Use (a + b)² = a² + 2ab + b² to find 61².
7. 7.Use a² − b² = (a + b)(a − b) to find 92² − 49².
8. 8.If a + b = 16 and ab = 48, what is a² + b²?
9. 9.If a + b = 5 and ab = 6, what is a² + b²?
10. 10.Use a² − b² = (a + b)(a − b) to find 28² − 11².
11. 11.Find the value of x² − y² when x = 13 and y = 2.
12. 12.If a + b = 6 and ab = 8, what is a² + b²?
13. 13.Use a² − b² = (a + b)(a − b) to find 56² − 27².
14. 14.Use (a + b)(a − b) = a² − b² to find 85 × 75.
15. 15.Use (a + b)(a − b) = a² − b² to find 78 × 62.
16. 16.Find the value of x² − 2xy + y² when x = 12 and y = 7.
17. 17.Use a² − b² = (a + b)(a − b) to find 27² − 7².
18. 18.Find the value of x² − 2xy + y² when x = 6 and y = 4.
19. 19.Use (a − b)² = a² − 2ab + b² to find 51².
20. 20.Use (a + b)² = a² + 2ab + b² to find 11².
21. 21.Find the value of x² + 2xy + y² when x = 7 and y = 6.
22. 22.If a + b = 10 and ab = 16, what is a² + b²?
23. 23.Use (a − b)² = a² − 2ab + b² to find 98².
24. 24.Find the value of x² + 2xy + y² when x = 12 and y = 8.
25. 25.Find the value of x² − y² when x = 7 and y = 4.
26. 26.Use a² − b² = (a + b)(a − b) to find 76² − 42².
27. 27.Find the value of x² + 2xy + y² when x = 13 and y = 4.
28. 28.Use (a − b)² = a² − 2ab + b² to find 94².
29. 29.If a − b = 1 and ab = 30, what is a² + b²?
30. 30.Use (a + b)² = a² + 2ab + b² to find 22².
31. 31.Use (a − b)² = a² − 2ab + b² to find 65².
32. 32.Use (a − b)² = a² − 2ab + b² to find 89².
33. 33.Use (a + b)² = a² + 2ab + b² to find 24².
34. 34.Use (a + b)² = a² + 2ab + b² to find 83².
35. 35.Use a² − b² = (a + b)(a − b) to find 99² − 43².
36. 36.Use (a + b)(a − b) = a² − b² to find 43 × 37.
37. 37.Use a² − b² = (a + b)(a − b) to find 99² − 92².
38. 38.Use (a + b)² = a² + 2ab + b² to find 52².
39. 39.Use a² − b² = (a + b)(a − b) to find 54² − 44².
40. 40.Find the value of x² + 2xy + y² when x = 4 and y = 1.

Free maths worksheets lessons, practice and worksheets at talentjr.in/maths-worksheets