Class 8 Maths Worksheet: Algebraic Identities

Maths worksheets lesson 61: Algebraic identities · Set 327 · 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 98 × 82.
2. 2.Use (a + b)² = a² + 2ab + b² to find 65².
3. 3.Find the value of x² − 2xy + y² when x = 6 and y = 2.
4. 4.Find the value of x² + 2xy + y² when x = 13 and y = 5.
5. 5.Use (a − b)² = a² − 2ab + b² to find 42².
6. 6.Find the value of x² + 2xy + y² when x = 11 and y = 7.
7. 7.Use (a − b)² = a² − 2ab + b² to find 77².
8. 8.Use a² − b² = (a + b)(a − b) to find 28² − 20².
9. 9.Use a² − b² = (a + b)(a − b) to find 73² − 30².
10. 10.Use a² − b² = (a + b)(a − b) to find 23² − 10².
11. 11.Use (a + b)(a − b) = a² − b² to find 81 × 79.
12. 12.Use (a − b)² = a² − 2ab + b² to find 11².
13. 13.If a + b = 14 and ab = 48, what is a² + b²?
14. 14.Find the value of x² − 2xy + y² when x = 9 and y = 7.
15. 15.Use a² − b² = (a + b)(a − b) to find 94² − 37².
16. 16.Use (a − b)² = a² − 2ab + b² to find 36².
17. 17.If a + b = 10 and ab = 16, what is a² + b²?
18. 18.If a + b = 10 and ab = 24, what is a² + b²?
19. 19.Find the value of x² − y² when x = 3 and y = 1.
20. 20.Find the value of x² − 2xy + y² when x = 9 and y = 6.
21. 21.Use (a + b)(a − b) = a² − b² to find 22 × 18.
22. 22.Use (a + b)² = a² + 2ab + b² to find 97².
23. 23.If a − b = 2 and ab = 3, what is a² + b²?
24. 24.Use (a + b)² = a² + 2ab + b² to find 17².
25. 25.Find the value of x² + 2xy + y² when x = 10 and y = 9.
26. 26.Use a² − b² = (a + b)(a − b) to find 35² − 14².
27. 27.Use (a + b)(a − b) = a² − b² to find 51 × 49.
28. 28.Use (a + b)(a − b) = a² − b² to find 36 × 24.
29. 29.Use a² − b² = (a + b)(a − b) to find 44² − 41².
30. 30.Use (a − b)² = a² − 2ab + b² to find 81².
31. 31.Use (a − b)² = a² − 2ab + b² to find 24².
32. 32.Use (a + b)(a − b) = a² − b² to find 32 × 28.
33. 33.Use (a − b)² = a² − 2ab + b² to find 47².
34. 34.Use a² − b² = (a + b)(a − b) to find 73² − 26².
35. 35.If a − b = 3 and ab = 18, what is a² + b²?
36. 36.Use (a + b)(a − b) = a² − b² to find 56 × 44.
37. 37.Find the value of x² − 2xy + y² when x = 3 and y = 2.
38. 38.Use (a + b)(a − b) = a² − b² to find 62 × 58.
39. 39.Use (a + b)(a − b) = a² − b² to find 67 × 53.
40. 40.Find the value of x² − y² when x = 11 and y = 7.

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