Class 8 Maths Worksheet: Algebraic Identities

Maths worksheets lesson 61: Algebraic identities · Set 453 · 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 104 × 96.
2. 2.Use (a + b)(a − b) = a² − b² to find 59 × 41.
3. 3.Use a² − b² = (a + b)(a − b) to find 79² − 8².
4. 4.Find the value of x² − y² when x = 5 and y = 2.
5. 5.Use (a + b)(a − b) = a² − b² to find 47 × 33.
6. 6.Use a² − b² = (a + b)(a − b) to find 25² − 18².
7. 7.Use (a + b)² = a² + 2ab + b² to find 67².
8. 8.Find the value of x² + 2xy + y² when x = 15 and y = 14.
9. 9.Use (a − b)² = a² − 2ab + b² to find 17².
10. 10.Use a² − b² = (a + b)(a − b) to find 30² − 5².
11. 11.Use a² − b² = (a + b)(a − b) to find 53² − 50².
12. 12.Find the value of x² − y² when x = 6 and y = 3.
13. 13.Use a² − b² = (a + b)(a − b) to find 79² − 26².
14. 14.Find the value of x² + 2xy + y² when x = 14 and y = 5.
15. 15.Use (a + b)² = a² + 2ab + b² to find 26².
16. 16.Find the value of x² + 2xy + y² when x = 3 and y = 1.
17. 17.Use (a − b)² = a² − 2ab + b² to find 43².
18. 18.Use a² − b² = (a + b)(a − b) to find 61² − 3².
19. 19.Use (a + b)(a − b) = a² − b² to find 72 × 68.
20. 20.Use (a + b)(a − b) = a² − b² to find 29 × 11.
21. 21.Use (a + b)² = a² + 2ab + b² to find 103².
22. 22.Use a² − b² = (a + b)(a − b) to find 79² − 74².
23. 23.Use (a − b)² = a² − 2ab + b² to find 62².
24. 24.Use a² − b² = (a + b)(a − b) to find 78² − 2².
25. 25.Use (a + b)² = a² + 2ab + b² to find 95².
26. 26.If a − b = 1 and ab = 2, what is a² + b²?
27. 27.Find the value of x² + 2xy + y² when x = 12 and y = 3.
28. 28.If a − b = 8 and ab = 9, what is a² + b²?
29. 29.Use (a − b)² = a² − 2ab + b² to find 12².
30. 30.Use a² − b² = (a + b)(a − b) to find 57² − 16².
31. 31.If a − b = 5 and ab = 14, what is a² + b²?
32. 32.Use (a + b)(a − b) = a² − b² to find 106 × 94.
33. 33.Use (a − b)² = a² − 2ab + b² to find 84².
34. 34.Use (a − b)² = a² − 2ab + b² to find 73².
35. 35.Use (a − b)² = a² − 2ab + b² to find 64².
36. 36.Use (a − b)² = a² − 2ab + b² to find 94².
37. 37.Find the value of x² − 2xy + y² when x = 14 and y = 12.
38. 38.Use (a − b)² = a² − 2ab + b² to find 61².
39. 39.Use a² − b² = (a + b)(a − b) to find 22² − 1².
40. 40.Find the value of x² − y² when x = 5 and y = 3.

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