Class 8 Maths Worksheet: Algebraic Identities

Maths worksheets lesson 61: Algebraic identities · Set 560 · 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 a² − b² = (a + b)(a − b) to find 75² − 14².
2. 2.Use (a + b)² = a² + 2ab + b² to find 108².
3. 3.Find the value of x² − 2xy + y² when x = 5 and y = 2.
4. 4.Use a² − b² = (a + b)(a − b) to find 99² − 41².
5. 5.Use a² − b² = (a + b)(a − b) to find 52² − 39².
6. 6.Use (a + b)(a − b) = a² − b² to find 67 × 53.
7. 7.Use (a − b)² = a² − 2ab + b² to find 45².
8. 8.Find the value of x² + 2xy + y² when x = 12 and y = 3.
9. 9.Use a² − b² = (a + b)(a − b) to find 30² − 22².
10. 10.Use (a + b)² = a² + 2ab + b² to find 44².
11. 11.Use a² − b² = (a + b)(a − b) to find 88² − 74².
12. 12.If a − b = 1 and ab = 2, what is a² + b²?
13. 13.Find the value of x² − y² when x = 9 and y = 7.
14. 14.If a + b = 10 and ab = 9, what is a² + b²?
15. 15.Use (a + b)(a − b) = a² − b² to find 25 × 15.
16. 16.Find the value of x² − 2xy + y² when x = 5 and y = 1.
17. 17.Use a² − b² = (a + b)(a − b) to find 37² − 3².
18. 18.Find the value of x² + 2xy + y² when x = 8 and y = 2.
19. 19.Use (a + b)² = a² + 2ab + b² to find 11².
20. 20.If a + b = 13 and ab = 40, what is a² + b²?
21. 21.Use (a − b)² = a² − 2ab + b² to find 98².
22. 22.Use a² − b² = (a + b)(a − b) to find 21² − 10².
23. 23.Use (a − b)² = a² − 2ab + b² to find 14².
24. 24.Use (a + b)(a − b) = a² − b² to find 85 × 75.
25. 25.Find the value of x² − 2xy + y² when x = 8 and y = 1.
26. 26.Use (a + b)² = a² + 2ab + b² to find 54².
27. 27.Use (a + b)(a − b) = a² − b² to find 107 × 93.
28. 28.If a − b = 7 and ab = 44, what is a² + b²?
29. 29.If a + b = 5 and ab = 4, what is a² + b²?
30. 30.Use (a − b)² = a² − 2ab + b² to find 54².
31. 31.Use (a − b)² = a² − 2ab + b² to find 11².
32. 32.Use (a + b)² = a² + 2ab + b² to find 57².
33. 33.Use a² − b² = (a + b)(a − b) to find 77² − 48².
34. 34.If a + b = 3 and ab = 2, what is a² + b²?
35. 35.Use (a + b)² = a² + 2ab + b² to find 71².
36. 36.Use a² − b² = (a + b)(a − b) to find 70² − 37².
37. 37.Use (a + b)(a − b) = a² − b² to find 96 × 84.
38. 38.Use a² − b² = (a + b)(a − b) to find 44² − 17².
39. 39.Use (a + b)(a − b) = a² − b² to find 68 × 52.
40. 40.Use (a + b)(a − b) = a² − b² to find 43 × 37.

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