Class 8 Maths Worksheet: Algebraic Identities

Maths worksheets lesson 61: Algebraic identities · Set 860 · 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 a² − b² = (a + b)(a − b) to find 50² − 11².
2. 2.Use (a + b)² = a² + 2ab + b² to find 39².
3. 3.Use (a + b)² = a² + 2ab + b² to find 25².
4. 4.Use (a + b)(a − b) = a² − b² to find 108 × 92.
5. 5.Use (a − b)² = a² − 2ab + b² to find 75².
6. 6.Use a² − b² = (a + b)(a − b) to find 94² − 4².
7. 7.Use a² − b² = (a + b)(a − b) to find 75² − 31².
8. 8.Use (a + b)² = a² + 2ab + b² to find 103².
9. 9.Use (a + b)² = a² + 2ab + b² to find 61².
10. 10.Use (a + b)(a − b) = a² − b² to find 49 × 31.
11. 11.Use (a + b)(a − b) = a² − b² to find 31 × 29.
12. 12.Use (a + b)(a − b) = a² − b² to find 25 × 15.
13. 13.Use (a + b)(a − b) = a² − b² to find 44 × 36.
14. 14.If a + b = 8 and ab = 7, what is a² + b²?
15. 15.Use (a + b)² = a² + 2ab + b² to find 71².
16. 16.Use (a + b)² = a² + 2ab + b² to find 32².
17. 17.If a − b = 1 and ab = 2, what is a² + b²?
18. 18.Use (a − b)² = a² − 2ab + b² to find 31².
19. 19.Use (a + b)(a − b) = a² − b² to find 58 × 42.
20. 20.Find the value of x² − y² when x = 9 and y = 6.
21. 21.Find the value of x² − 2xy + y² when x = 6 and y = 5.
22. 22.Use a² − b² = (a + b)(a − b) to find 81² − 74².
23. 23.If a + b = 3 and ab = 2, what is a² + b²?
24. 24.Use a² − b² = (a + b)(a − b) to find 76² − 64².
25. 25.Find the value of x² − 2xy + y² when x = 12 and y = 10.
26. 26.Use (a − b)² = a² − 2ab + b² to find 38².
27. 27.Use (a + b)(a − b) = a² − b² to find 56 × 44.
28. 28.Use (a + b)(a − b) = a² − b² to find 64 × 56.
29. 29.Use a² − b² = (a + b)(a − b) to find 26² − 13².
30. 30.Find the value of x² − 2xy + y² when x = 10 and y = 6.
31. 31.Use a² − b² = (a + b)(a − b) to find 94² − 11².
32. 32.If a − b = 10 and ab = 11, what is a² + b²?
33. 33.Use (a − b)² = a² − 2ab + b² to find 88².
34. 34.Use (a + b)² = a² + 2ab + b² to find 102².
35. 35.Find the value of x² − y² when x = 5 and y = 3.
36. 36.Use (a + b)² = a² + 2ab + b² to find 22².
37. 37.Use (a + b)(a − b) = a² − b² to find 104 × 96.
38. 38.If a − b = 7 and ab = 8, what is a² + b²?
39. 39.Use a² − b² = (a + b)(a − b) to find 32² − 20².
40. 40.If a − b = 5 and ab = 24, what is a² + b²?

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