Class 8 Maths Worksheet: Algebraic Identities

Maths worksheets lesson 61: Algebraic identities · Set 60 · 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 95².
2. 2.Find the value of x² − 2xy + y² when x = 10 and y = 4.
3. 3.Find the value of x² − y² when x = 5 and y = 3.
4. 4.Use (a − b)² = a² − 2ab + b² to find 76².
5. 5.Use (a + b)² = a² + 2ab + b² to find 51².
6. 6.If a + b = 9 and ab = 18, what is a² + b²?
7. 7.If a + b = 5 and ab = 6, what is a² + b²?
8. 8.Use (a + b)² = a² + 2ab + b² to find 109².
9. 9.Use (a + b)² = a² + 2ab + b² to find 59².
10. 10.Use (a + b)² = a² + 2ab + b² to find 44².
11. 11.If a − b = 3 and ab = 10, what is a² + b²?
12. 12.If a − b = 5 and ab = 6, what is a² + b²?
13. 13.Use a² − b² = (a + b)(a − b) to find 81² − 61².
14. 14.Use (a − b)² = a² − 2ab + b² to find 79².
15. 15.Find the value of x² + 2xy + y² when x = 4 and y = 1.
16. 16.Use a² − b² = (a + b)(a − b) to find 27² − 21².
17. 17.Use (a + b)(a − b) = a² − b² to find 31 × 29.
18. 18.Use (a − b)² = a² − 2ab + b² to find 26².
19. 19.Use (a + b)² = a² + 2ab + b² to find 81².
20. 20.Use a² − b² = (a + b)(a − b) to find 62² − 61².
21. 21.Use (a + b)(a − b) = a² − b² to find 74 × 66.
22. 22.Find the value of x² − y² when x = 12 and y = 2.
23. 23.Find the value of x² + 2xy + y² when x = 11 and y = 1.
24. 24.If a + b = 15 and ab = 50, what is a² + b²?
25. 25.If a − b = 2 and ab = 3, what is a² + b²?
26. 26.Find the value of x² − y² when x = 6 and y = 2.
27. 27.Find the value of x² + 2xy + y² when x = 8 and y = 6.
28. 28.Use (a + b)² = a² + 2ab + b² to find 107².
29. 29.Use (a + b)² = a² + 2ab + b² to find 34².
30. 30.Use (a − b)² = a² − 2ab + b² to find 24².
31. 31.If a + b = 13 and ab = 42, what is a² + b²?
32. 32.Use (a + b)(a − b) = a² − b² to find 47 × 33.
33. 33.Find the value of x² − y² when x = 11 and y = 7.
34. 34.Use (a − b)² = a² − 2ab + b² to find 41².
35. 35.Use a² − b² = (a + b)(a − b) to find 39² − 29².
36. 36.If a − b = 4 and ab = 5, what is a² + b²?
37. 37.Find the value of x² − 2xy + y² when x = 8 and y = 1.
38. 38.If a + b = 6 and ab = 5, what is a² + b²?
39. 39.If a − b = 2 and ab = 15, what is a² + b²?
40. 40.Use (a − b)² = a² − 2ab + b² to find 37².

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