Class 8 Maths Worksheet: Algebraic Identities

Maths worksheets lesson 61: Algebraic identities · Set 655 · 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 − y² when x = 11 and y = 8.
2. 2.Use a² − b² = (a + b)(a − b) to find 32² − 10².
3. 3.Use (a − b)² = a² − 2ab + b² to find 26².
4. 4.If a − b = 4 and ab = 21, what is a² + b²?
5. 5.Use a² − b² = (a + b)(a − b) to find 78² − 9².
6. 6.Use (a + b)² = a² + 2ab + b² to find 85².
7. 7.Use (a + b)(a − b) = a² − b² to find 67 × 53.
8. 8.Use (a + b)² = a² + 2ab + b² to find 96².
9. 9.Use (a + b)(a − b) = a² − b² to find 77 × 63.
10. 10.Find the value of x² + 2xy + y² when x = 7 and y = 6.
11. 11.If a − b = 6 and ab = 40, what is a² + b²?
12. 12.Find the value of x² − y² when x = 3 and y = 1.
13. 13.Find the value of x² − 2xy + y² when x = 4 and y = 3.
14. 14.Use (a + b)² = a² + 2ab + b² to find 42².
15. 15.Use (a − b)² = a² − 2ab + b² to find 77².
16. 16.Find the value of x² − y² when x = 15 and y = 10.
17. 17.Use a² − b² = (a + b)(a − b) to find 29² − 13².
18. 18.If a + b = 9 and ab = 18, what is a² + b²?
19. 19.Find the value of x² + 2xy + y² when x = 3 and y = 1.
20. 20.If a + b = 17 and ab = 60, what is a² + b²?
21. 21.Use (a + b)² = a² + 2ab + b² to find 14².
22. 22.Find the value of x² + 2xy + y² when x = 7 and y = 2.
23. 23.Use (a − b)² = a² − 2ab + b² to find 28².
24. 24.Use (a + b)(a − b) = a² − b² to find 44 × 36.
25. 25.Use a² − b² = (a + b)(a − b) to find 84² − 80².
26. 26.If a + b = 14 and ab = 33, what is a² + b²?
27. 27.If a + b = 7 and ab = 6, what is a² + b²?
28. 28.If a − b = 1 and ab = 2, what is a² + b²?
29. 29.Find the value of x² + 2xy + y² when x = 15 and y = 3.
30. 30.Use (a − b)² = a² − 2ab + b² to find 41².
31. 31.Use (a + b)(a − b) = a² − b² to find 107 × 93.
32. 32.Use a² − b² = (a + b)(a − b) to find 48² − 38².
33. 33.Use a² − b² = (a + b)(a − b) to find 64² − 17².
34. 34.If a − b = 5 and ab = 6, what is a² + b²?
35. 35.If a + b = 21 and ab = 110, what is a² + b²?
36. 36.Use (a + b)(a − b) = a² − b² to find 66 × 54.
37. 37.Use (a + b)(a − b) = a² − b² to find 102 × 98.
38. 38.Use (a + b)(a − b) = a² − b² to find 22 × 18.
39. 39.Use a² − b² = (a + b)(a − b) to find 59² − 1².
40. 40.Use (a + b)² = a² + 2ab + b² to find 48².

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