Class 8 Maths Worksheet: Algebraic Identities

Maths worksheets lesson 61: Algebraic identities · Set 612 · 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 92².
2. 2.Use (a − b)² = a² − 2ab + b² to find 81².
3. 3.Use (a − b)² = a² − 2ab + b² to find 16².
4. 4.Use (a + b)² = a² + 2ab + b² to find 23².
5. 5.Use (a − b)² = a² − 2ab + b² to find 23².
6. 6.Find the value of x² − 2xy + y² when x = 10 and y = 4.
7. 7.Use (a − b)² = a² − 2ab + b² to find 28².
8. 8.Use (a − b)² = a² − 2ab + b² to find 95².
9. 9.Use (a + b)² = a² + 2ab + b² to find 98².
10. 10.Use (a − b)² = a² − 2ab + b² to find 43².
11. 11.Use a² − b² = (a + b)(a − b) to find 72² − 33².
12. 12.Find the value of x² − 2xy + y² when x = 15 and y = 13.
13. 13.Use (a − b)² = a² − 2ab + b² to find 52².
14. 14.Use (a + b)(a − b) = a² − b² to find 57 × 43.
15. 15.Use a² − b² = (a + b)(a − b) to find 63² − 9².
16. 16.Use a² − b² = (a + b)(a − b) to find 25² − 13².
17. 17.Use (a + b)(a − b) = a² − b² to find 66 × 54.
18. 18.Use (a − b)² = a² − 2ab + b² to find 75².
19. 19.Use (a − b)² = a² − 2ab + b² to find 61².
20. 20.Use a² − b² = (a + b)(a − b) to find 46² − 24².
21. 21.Use (a + b)² = a² + 2ab + b² to find 21².
22. 22.Use (a + b)² = a² + 2ab + b² to find 65².
23. 23.Use (a − b)² = a² − 2ab + b² to find 78².
24. 24.Find the value of x² − y² when x = 9 and y = 2.
25. 25.If a + b = 15 and ab = 44, what is a² + b²?
26. 26.Use (a + b)² = a² + 2ab + b² to find 76².
27. 27.If a − b = 3 and ab = 54, what is a² + b²?
28. 28.Use (a − b)² = a² − 2ab + b² to find 33².
29. 29.Use a² − b² = (a + b)(a − b) to find 93² − 25².
30. 30.If a + b = 18 and ab = 80, what is a² + b²?
31. 31.Use a² − b² = (a + b)(a − b) to find 58² − 1².
32. 32.Use (a + b)² = a² + 2ab + b² to find 14².
33. 33.Use (a + b)² = a² + 2ab + b² to find 99².
34. 34.Use (a + b)(a − b) = a² − b² to find 48 × 32.
35. 35.Find the value of x² − y² when x = 4 and y = 3.
36. 36.Find the value of x² − 2xy + y² when x = 9 and y = 2.
37. 37.Use (a − b)² = a² − 2ab + b² to find 89².
38. 38.If a + b = 4 and ab = 3, what is a² + b²?
39. 39.Use (a + b)(a − b) = a² − b² to find 21 × 19.
40. 40.Find the value of x² − y² when x = 15 and y = 10.

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