Class 8 Maths Worksheet: Algebraic Identities

Maths worksheets lesson 61: Algebraic identities · Set 195 · 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 41².
2. 2.Use (a + b)(a − b) = a² − b² to find 43 × 37.
3. 3.Use (a + b)² = a² + 2ab + b² to find 28².
4. 4.Use (a + b)² = a² + 2ab + b² to find 39².
5. 5.Use a² − b² = (a + b)(a − b) to find 52² − 35².
6. 6.Find the value of x² − y² when x = 13 and y = 1.
7. 7.Use (a − b)² = a² − 2ab + b² to find 77².
8. 8.Use a² − b² = (a + b)(a − b) to find 43² − 41².
9. 9.Find the value of x² + 2xy + y² when x = 8 and y = 7.
10. 10.Find the value of x² − 2xy + y² when x = 13 and y = 4.
11. 11.Find the value of x² + 2xy + y² when x = 8 and y = 4.
12. 12.Use a² − b² = (a + b)(a − b) to find 55² − 24².
13. 13.Use (a + b)(a − b) = a² − b² to find 59 × 41.
14. 14.Use a² − b² = (a + b)(a − b) to find 97² − 76².
15. 15.Use (a − b)² = a² − 2ab + b² to find 48².
16. 16.Use (a + b)² = a² + 2ab + b² to find 17².
17. 17.Use a² − b² = (a + b)(a − b) to find 98² − 39².
18. 18.Use (a + b)² = a² + 2ab + b² to find 99².
19. 19.Use (a + b)² = a² + 2ab + b² to find 16².
20. 20.Use a² − b² = (a + b)(a − b) to find 62² − 4².
21. 21.If a − b = 4 and ab = 96, what is a² + b²?
22. 22.Find the value of x² + 2xy + y² when x = 15 and y = 1.
23. 23.Use (a − b)² = a² − 2ab + b² to find 39².
24. 24.Use (a − b)² = a² − 2ab + b² to find 79².
25. 25.Use (a + b)(a − b) = a² − b² to find 95 × 85.
26. 26.Use (a − b)² = a² − 2ab + b² to find 36².
27. 27.Use a² − b² = (a + b)(a − b) to find 71² − 41².
28. 28.If a + b = 5 and ab = 4, what is a² + b²?
29. 29.Use (a + b)² = a² + 2ab + b² to find 27².
30. 30.Use a² − b² = (a + b)(a − b) to find 35² − 34².
31. 31.If a + b = 20 and ab = 96, what is a² + b²?
32. 32.Use (a + b)(a − b) = a² − b² to find 46 × 34.
33. 33.Use (a + b)(a − b) = a² − b² to find 31 × 29.
34. 34.Use a² − b² = (a + b)(a − b) to find 91² − 26².
35. 35.Use (a − b)² = a² − 2ab + b² to find 17².
36. 36.Use (a − b)² = a² − 2ab + b² to find 78².
37. 37.Use (a + b)(a − b) = a² − b² to find 66 × 54.
38. 38.Use (a − b)² = a² − 2ab + b² to find 45².
39. 39.Use a² − b² = (a + b)(a − b) to find 57² − 33².
40. 40.Use (a + b)² = a² + 2ab + b² to find 61².

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