Class 8 Maths Worksheet: Algebraic Identities

Maths worksheets lesson 61: Algebraic identities · Set 219 · 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 71².
2. 2.Use (a − b)² = a² − 2ab + b² to find 88².
3. 3.Use (a + b)² = a² + 2ab + b² to find 36².
4. 4.Use (a + b)² = a² + 2ab + b² to find 27².
5. 5.Find the value of x² − 2xy + y² when x = 3 and y = 2.
6. 6.Use (a + b)² = a² + 2ab + b² to find 72².
7. 7.Use a² − b² = (a + b)(a − b) to find 46² − 17².
8. 8.Use (a + b)² = a² + 2ab + b² to find 56².
9. 9.Use a² − b² = (a + b)(a − b) to find 82² − 76².
10. 10.Use (a + b)² = a² + 2ab + b² to find 45².
11. 11.Use (a + b)(a − b) = a² − b² to find 47 × 33.
12. 12.Find the value of x² + 2xy + y² when x = 12 and y = 6.
13. 13.Find the value of x² + 2xy + y² when x = 10 and y = 2.
14. 14.Use a² − b² = (a + b)(a − b) to find 97² − 35².
15. 15.Find the value of x² − 2xy + y² when x = 7 and y = 6.
16. 16.Use (a − b)² = a² − 2ab + b² to find 89².
17. 17.If a − b = 2 and ab = 3, what is a² + b²?
18. 18.Use a² − b² = (a + b)(a − b) to find 42² − 1².
19. 19.Use (a + b)(a − b) = a² − b² to find 33 × 27.
20. 20.Use (a + b)² = a² + 2ab + b² to find 98².
21. 21.Find the value of x² + 2xy + y² when x = 8 and y = 4.
22. 22.Use a² − b² = (a + b)(a − b) to find 38² − 15².
23. 23.If a + b = 5 and ab = 4, what is a² + b²?
24. 24.If a − b = 1 and ab = 2, what is a² + b²?
25. 25.Use (a − b)² = a² − 2ab + b² to find 99².
26. 26.Use (a + b)² = a² + 2ab + b² to find 11².
27. 27.Use a² − b² = (a + b)(a − b) to find 37² − 20².
28. 28.Use a² − b² = (a + b)(a − b) to find 39² − 19².
29. 29.Use (a + b)² = a² + 2ab + b² to find 31².
30. 30.Use (a − b)² = a² − 2ab + b² to find 47².
31. 31.Find the value of x² + 2xy + y² when x = 9 and y = 8.
32. 32.Find the value of x² − y² when x = 3 and y = 1.
33. 33.Use (a + b)² = a² + 2ab + b² to find 99².
34. 34.If a − b = 10 and ab = 11, what is a² + b²?
35. 35.Find the value of x² − 2xy + y² when x = 5 and y = 2.
36. 36.Use (a + b)² = a² + 2ab + b² to find 67².
37. 37.Use (a + b)² = a² + 2ab + b² to find 21².
38. 38.Use (a − b)² = a² − 2ab + b² to find 14².
39. 39.Use (a − b)² = a² − 2ab + b² to find 59².
40. 40.Use (a + b)(a − b) = a² − b² to find 96 × 84.

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