Class 8 Maths Worksheet: Algebraic Identities

Maths worksheets lesson 61: Algebraic identities · Set 509 · 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 25².
2. 2.Use (a + b)(a − b) = a² − b² to find 63 × 57.
3. 3.If a + b = 6 and ab = 5, what is a² + b²?
4. 4.Find the value of x² + 2xy + y² when x = 11 and y = 10.
5. 5.Use (a + b)² = a² + 2ab + b² to find 62².
6. 6.Use (a − b)² = a² − 2ab + b² to find 18².
7. 7.Use (a + b)(a − b) = a² − b² to find 43 × 37.
8. 8.Use (a + b)² = a² + 2ab + b² to find 34².
9. 9.Use (a + b)² = a² + 2ab + b² to find 16².
10. 10.Use (a + b)² = a² + 2ab + b² to find 73².
11. 11.Use (a + b)² = a² + 2ab + b² to find 23².
12. 12.Find the value of x² + 2xy + y² when x = 12 and y = 8.
13. 13.Use a² − b² = (a + b)(a − b) to find 91² − 67².
14. 14.If a + b = 13 and ab = 42, what is a² + b²?
15. 15.Find the value of x² + 2xy + y² when x = 14 and y = 5.
16. 16.Use a² − b² = (a + b)(a − b) to find 41² − 15².
17. 17.Use (a − b)² = a² − 2ab + b² to find 37².
18. 18.Find the value of x² + 2xy + y² when x = 11 and y = 3.
19. 19.Use (a + b)(a − b) = a² − b² to find 54 × 46.
20. 20.If a − b = 3 and ab = 4, what is a² + b²?
21. 21.Use (a − b)² = a² − 2ab + b² to find 55².
22. 22.Use (a + b)² = a² + 2ab + b² to find 41².
23. 23.Find the value of x² + 2xy + y² when x = 5 and y = 2.
24. 24.If a − b = 4 and ab = 32, what is a² + b²?
25. 25.Find the value of x² + 2xy + y² when x = 13 and y = 3.
26. 26.Use (a + b)² = a² + 2ab + b² to find 56².
27. 27.Use a² − b² = (a + b)(a − b) to find 64² − 51².
28. 28.Use (a − b)² = a² − 2ab + b² to find 74².
29. 29.Use a² − b² = (a + b)(a − b) to find 60² − 34².
30. 30.Use a² − b² = (a + b)(a − b) to find 47² − 26².
31. 31.Use (a + b)² = a² + 2ab + b² to find 91².
32. 32.If a − b = 3 and ab = 10, what is a² + b²?
33. 33.Use (a − b)² = a² − 2ab + b² to find 17².
34. 34.Use a² − b² = (a + b)(a − b) to find 59² − 29².
35. 35.Use (a + b)(a − b) = a² − b² to find 25 × 15.
36. 36.Use (a − b)² = a² − 2ab + b² to find 13².
37. 37.Use (a − b)² = a² − 2ab + b² to find 29².
38. 38.If a − b = 1 and ab = 110, what is a² + b²?
39. 39.Find the value of x² − y² when x = 6 and y = 3.
40. 40.Use (a − b)² = a² − 2ab + b² to find 94².

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