Class 8 Maths Worksheet: Algebraic Identities

Maths worksheets lesson 61: Algebraic identities · Set 356 · 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.Find the value of x² − 2xy + y² when x = 3 and y = 2.
2. 2.Use (a − b)² = a² − 2ab + b² to find 54².
3. 3.Use (a − b)² = a² − 2ab + b² to find 42².
4. 4.Find the value of x² + 2xy + y² when x = 7 and y = 2.
5. 5.Find the value of x² − y² when x = 7 and y = 6.
6. 6.If a + b = 19 and ab = 84, what is a² + b²?
7. 7.Find the value of x² − 2xy + y² when x = 13 and y = 3.
8. 8.Use (a + b)² = a² + 2ab + b² to find 71².
9. 9.Use a² − b² = (a + b)(a − b) to find 48² − 14².
10. 10.Use a² − b² = (a + b)(a − b) to find 36² − 4².
11. 11.Find the value of x² − y² when x = 8 and y = 5.
12. 12.Use (a − b)² = a² − 2ab + b² to find 53².
13. 13.Use (a + b)² = a² + 2ab + b² to find 92².
14. 14.Use (a + b)² = a² + 2ab + b² to find 67².
15. 15.Find the value of x² − y² when x = 7 and y = 1.
16. 16.Use a² − b² = (a + b)(a − b) to find 98² − 58².
17. 17.Use (a − b)² = a² − 2ab + b² to find 68².
18. 18.Find the value of x² − 2xy + y² when x = 9 and y = 5.
19. 19.Use (a + b)² = a² + 2ab + b² to find 96².
20. 20.Use (a + b)(a − b) = a² − b² to find 62 × 58.
21. 21.Use (a + b)² = a² + 2ab + b² to find 54².
22. 22.Use (a + b)(a − b) = a² − b² to find 106 × 94.
23. 23.Use (a + b)² = a² + 2ab + b² to find 91².
24. 24.Find the value of x² + 2xy + y² when x = 13 and y = 1.
25. 25.Use (a − b)² = a² − 2ab + b² to find 26².
26. 26.Use a² − b² = (a + b)(a − b) to find 97² − 42².
27. 27.Use (a + b)(a − b) = a² − b² to find 55 × 45.
28. 28.Use (a − b)² = a² − 2ab + b² to find 85².
29. 29.Use (a + b)² = a² + 2ab + b² to find 56².
30. 30.Use (a + b)² = a² + 2ab + b² to find 62².
31. 31.Use (a + b)² = a² + 2ab + b² to find 36².
32. 32.Use a² − b² = (a + b)(a − b) to find 31² − 19².
33. 33.Use (a − b)² = a² − 2ab + b² to find 63².
34. 34.Use (a + b)² = a² + 2ab + b² to find 12².
35. 35.Use a² − b² = (a + b)(a − b) to find 61² − 15².
36. 36.Find the value of x² − y² when x = 15 and y = 4.
37. 37.Use (a − b)² = a² − 2ab + b² to find 37².
38. 38.Use a² − b² = (a + b)(a − b) to find 64² − 54².
39. 39.Find the value of x² − 2xy + y² when x = 5 and y = 1.
40. 40.Use (a + b)(a − b) = a² − b² to find 49 × 31.

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