Class 8 Maths Worksheet: Algebraic Identities

Maths worksheets lesson 61: Algebraic identities · Set 721 · 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 43² − 33².
2. 2.Use a² − b² = (a + b)(a − b) to find 55² − 49².
3. 3.Use (a + b)² = a² + 2ab + b² to find 29².
4. 4.If a − b = 1 and ab = 2, what is a² + b²?
5. 5.Use (a − b)² = a² − 2ab + b² to find 55².
6. 6.Use (a + b)(a − b) = a² − b² to find 33 × 27.
7. 7.Use (a − b)² = a² − 2ab + b² to find 93².
8. 8.Use a² − b² = (a + b)(a − b) to find 83² − 62².
9. 9.Use (a + b)(a − b) = a² − b² to find 87 × 73.
10. 10.If a − b = 3 and ab = 54, what is a² + b²?
11. 11.Use (a + b)² = a² + 2ab + b² to find 59².
12. 12.Use (a − b)² = a² − 2ab + b² to find 24².
13. 13.If a + b = 10 and ab = 24, what is a² + b²?
14. 14.Use (a + b)(a − b) = a² − b² to find 83 × 77.
15. 15.Use (a + b)² = a² + 2ab + b² to find 81².
16. 16.If a + b = 7 and ab = 12, what is a² + b²?
17. 17.If a + b = 11 and ab = 18, what is a² + b²?
18. 18.Use (a − b)² = a² − 2ab + b² to find 39².
19. 19.Find the value of x² − y² when x = 6 and y = 2.
20. 20.Find the value of x² + 2xy + y² when x = 10 and y = 4.
21. 21.Find the value of x² − y² when x = 6 and y = 5.
22. 22.If a + b = 14 and ab = 45, what is a² + b²?
23. 23.If a − b = 2 and ab = 3, what is a² + b²?
24. 24.Use (a − b)² = a² − 2ab + b² to find 34².
25. 25.Find the value of x² − 2xy + y² when x = 4 and y = 2.
26. 26.Find the value of x² − 2xy + y² when x = 7 and y = 2.
27. 27.Use (a + b)(a − b) = a² − b² to find 48 × 32.
28. 28.Find the value of x² − 2xy + y² when x = 4 and y = 3.
29. 29.If a + b = 6 and ab = 8, what is a² + b²?
30. 30.If a + b = 5 and ab = 6, what is a² + b²?
31. 31.Use (a − b)² = a² − 2ab + b² to find 14².
32. 32.Use (a − b)² = a² − 2ab + b² to find 74².
33. 33.If a + b = 11 and ab = 10, what is a² + b²?
34. 34.Use (a + b)² = a² + 2ab + b² to find 69².
35. 35.Use (a + b)(a − b) = a² − b² to find 62 × 58.
36. 36.Use (a + b)² = a² + 2ab + b² to find 64².
37. 37.Use (a + b)(a − b) = a² − b² to find 36 × 24.
38. 38.Find the value of x² − 2xy + y² when x = 10 and y = 4.
39. 39.Find the value of x² − 2xy + y² when x = 8 and y = 4.
40. 40.Use (a + b)² = a² + 2ab + b² to find 93².

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