Class 8 Maths Worksheet: Algebraic Identities

Maths worksheets lesson 61: Algebraic identities · Set 532 · 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 64².
2. 2.Use a² − b² = (a + b)(a − b) to find 37² − 1².
3. 3.If a − b = 5 and ab = 6, what is a² + b²?
4. 4.Use (a + b)² = a² + 2ab + b² to find 38².
5. 5.Use (a + b)(a − b) = a² − b² to find 93 × 87.
6. 6.Use (a + b)² = a² + 2ab + b² to find 106².
7. 7.Use (a + b)² = a² + 2ab + b² to find 52².
8. 8.Use a² − b² = (a + b)(a − b) to find 28² − 7².
9. 9.Use (a − b)² = a² − 2ab + b² to find 61².
10. 10.Use (a + b)² = a² + 2ab + b² to find 96².
11. 11.Use (a − b)² = a² − 2ab + b² to find 12².
12. 12.Use a² − b² = (a + b)(a − b) to find 24² − 5².
13. 13.Use a² − b² = (a + b)(a − b) to find 48² − 39².
14. 14.Use a² − b² = (a + b)(a − b) to find 85² − 5².
15. 15.Use (a + b)(a − b) = a² − b² to find 33 × 27.
16. 16.If a − b = 1 and ab = 6, what is a² + b²?
17. 17.Use (a + b)² = a² + 2ab + b² to find 26².
18. 18.Use (a + b)(a − b) = a² − b² to find 26 × 14.
19. 19.Use (a + b)(a − b) = a² − b² to find 81 × 79.
20. 20.Use (a + b)² = a² + 2ab + b² to find 99².
21. 21.If a − b = 1 and ab = 132, what is a² + b²?
22. 22.Use (a − b)² = a² − 2ab + b² to find 22².
23. 23.Find the value of x² + 2xy + y² when x = 14 and y = 8.
24. 24.If a − b = 1 and ab = 72, what is a² + b²?
25. 25.Find the value of x² − y² when x = 14 and y = 7.
26. 26.Use (a + b)² = a² + 2ab + b² to find 39².
27. 27.Use (a − b)² = a² − 2ab + b² to find 59².
28. 28.Use (a − b)² = a² − 2ab + b² to find 89².
29. 29.If a + b = 17 and ab = 66, what is a² + b²?
30. 30.Use (a + b)² = a² + 2ab + b² to find 72².
31. 31.Use (a + b)² = a² + 2ab + b² to find 92².
32. 32.Use (a + b)² = a² + 2ab + b² to find 37².
33. 33.Use (a + b)² = a² + 2ab + b² to find 41².
34. 34.Use (a − b)² = a² − 2ab + b² to find 94².
35. 35.Find the value of x² − y² when x = 11 and y = 9.
36. 36.Use a² − b² = (a + b)(a − b) to find 66² − 12².
37. 37.If a + b = 4 and ab = 3, what is a² + b²?
38. 38.If a + b = 12 and ab = 32, what is a² + b²?
39. 39.Use (a + b)² = a² + 2ab + b² to find 85².
40. 40.Find the value of x² − 2xy + y² when x = 15 and y = 1.

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