Class 8 Maths Worksheet: Algebraic Identities

Maths worksheets lesson 61: Algebraic identities · Set 817 · 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 85².
2. 2.Use a² − b² = (a + b)(a − b) to find 96² − 85².
3. 3.Use a² − b² = (a + b)(a − b) to find 75² − 58².
4. 4.If a + b = 16 and ab = 55, what is a² + b²?
5. 5.Find the value of x² − 2xy + y² when x = 8 and y = 4.
6. 6.Use (a + b)² = a² + 2ab + b² to find 101².
7. 7.Use (a + b)(a − b) = a² − b² to find 101 × 99.
8. 8.Use a² − b² = (a + b)(a − b) to find 78² − 27².
9. 9.Use a² − b² = (a + b)(a − b) to find 92² − 25².
10. 10.Use a² − b² = (a + b)(a − b) to find 92² − 71².
11. 11.Use (a + b)² = a² + 2ab + b² to find 71².
12. 12.Use (a + b)(a − b) = a² − b² to find 94 × 86.
13. 13.Use (a − b)² = a² − 2ab + b² to find 98².
14. 14.Find the value of x² + 2xy + y² when x = 14 and y = 3.
15. 15.Use (a − b)² = a² − 2ab + b² to find 21².
16. 16.If a − b = 7 and ab = 30, what is a² + b²?
17. 17.Use (a + b)² = a² + 2ab + b² to find 27².
18. 18.Use (a − b)² = a² − 2ab + b² to find 44².
19. 19.Use (a + b)(a − b) = a² − b² to find 91 × 89.
20. 20.If a − b = 2 and ab = 3, what is a² + b²?
21. 21.Use (a + b)² = a² + 2ab + b² to find 36².
22. 22.Use a² − b² = (a + b)(a − b) to find 47² − 35².
23. 23.Use a² − b² = (a + b)(a − b) to find 92² − 5².
24. 24.Use (a + b)(a − b) = a² − b² to find 76 × 64.
25. 25.Find the value of x² + 2xy + y² when x = 12 and y = 5.
26. 26.Use (a − b)² = a² − 2ab + b² to find 63².
27. 27.If a + b = 7 and ab = 12, what is a² + b²?
28. 28.Use a² − b² = (a + b)(a − b) to find 36² − 22².
29. 29.Use (a + b)² = a² + 2ab + b² to find 95².
30. 30.Use (a − b)² = a² − 2ab + b² to find 82².
31. 31.Use (a + b)(a − b) = a² − b² to find 46 × 34.
32. 32.Find the value of x² + 2xy + y² when x = 7 and y = 2.
33. 33.If a + b = 6 and ab = 8, what is a² + b²?
34. 34.Find the value of x² + 2xy + y² when x = 10 and y = 2.
35. 35.Use (a + b)(a − b) = a² − b² to find 45 × 35.
36. 36.Find the value of x² − y² when x = 8 and y = 2.
37. 37.Use (a − b)² = a² − 2ab + b² to find 48².
38. 38.Use (a + b)² = a² + 2ab + b² to find 58².
39. 39.Use (a − b)² = a² − 2ab + b² to find 75².
40. 40.If a − b = 7 and ab = 60, what is a² + b²?

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