Class 8 Maths Worksheet: Algebraic Identities

Maths worksheets lesson 61: Algebraic identities · Set 569 · 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 93² − 26².
2. 2.Use (a + b)² = a² + 2ab + b² to find 24².
3. 3.Use (a + b)(a − b) = a² − b² to find 33 × 27.
4. 4.Use (a − b)² = a² − 2ab + b² to find 45².
5. 5.Use (a + b)(a − b) = a² − b² to find 23 × 17.
6. 6.Use (a − b)² = a² − 2ab + b² to find 54².
7. 7.If a − b = 4 and ab = 12, what is a² + b²?
8. 8.If a − b = 1 and ab = 2, what is a² + b²?
9. 9.Use (a + b)² = a² + 2ab + b² to find 53².
10. 10.Use (a + b)(a − b) = a² − b² to find 22 × 18.
11. 11.Find the value of x² − y² when x = 6 and y = 1.
12. 12.Use a² − b² = (a + b)(a − b) to find 54² − 4².
13. 13.Use (a + b)² = a² + 2ab + b² to find 11².
14. 14.Use (a + b)² = a² + 2ab + b² to find 48².
15. 15.Use (a − b)² = a² − 2ab + b² to find 13².
16. 16.Use a² − b² = (a + b)(a − b) to find 75² − 40².
17. 17.Use (a − b)² = a² − 2ab + b² to find 48².
18. 18.If a + b = 9 and ab = 20, what is a² + b²?
19. 19.Find the value of x² − y² when x = 6 and y = 4.
20. 20.Use a² − b² = (a + b)(a − b) to find 69² − 11².
21. 21.Use a² − b² = (a + b)(a − b) to find 63² − 1².
22. 22.Use (a + b)(a − b) = a² − b² to find 97 × 83.
23. 23.Find the value of x² − 2xy + y² when x = 10 and y = 1.
24. 24.Find the value of x² + 2xy + y² when x = 4 and y = 2.
25. 25.If a + b = 16 and ab = 48, what is a² + b²?
26. 26.Use a² − b² = (a + b)(a − b) to find 58² − 31².
27. 27.Use (a − b)² = a² − 2ab + b² to find 41².
28. 28.Use (a − b)² = a² − 2ab + b² to find 57².
29. 29.Use (a + b)(a − b) = a² − b² to find 53 × 47.
30. 30.Use (a − b)² = a² − 2ab + b² to find 11².
31. 31.If a + b = 19 and ab = 84, what is a² + b²?
32. 32.Use (a + b)(a − b) = a² − b² to find 86 × 74.
33. 33.Find the value of x² − 2xy + y² when x = 11 and y = 4.
34. 34.Use (a + b)² = a² + 2ab + b² to find 62².
35. 35.Use a² − b² = (a + b)(a − b) to find 48² − 39².
36. 36.Use (a − b)² = a² − 2ab + b² to find 85².
37. 37.Use (a + b)² = a² + 2ab + b² to find 59².
38. 38.If a + b = 5 and ab = 4, what is a² + b²?
39. 39.Find the value of x² − 2xy + y² when x = 10 and y = 3.
40. 40.Use a² − b² = (a + b)(a − b) to find 87² − 23².

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