Class 8 Maths Worksheet: Algebraic Identities

Maths worksheets lesson 61: Algebraic identities · Set 676 · 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 103².
2. 2.Use (a + b)(a − b) = a² − b² to find 29 × 11.
3. 3.Use (a + b)² = a² + 2ab + b² to find 65².
4. 4.Use a² − b² = (a + b)(a − b) to find 88² − 46².
5. 5.Use (a + b)² = a² + 2ab + b² to find 21².
6. 6.Use (a + b)(a − b) = a² − b² to find 78 × 62.
7. 7.Use (a + b)² = a² + 2ab + b² to find 59².
8. 8.Find the value of x² − 2xy + y² when x = 10 and y = 4.
9. 9.If a + b = 17 and ab = 66, what is a² + b²?
10. 10.Use (a + b)(a − b) = a² − b² to find 91 × 89.
11. 11.Use (a + b)² = a² + 2ab + b² to find 82².
12. 12.Find the value of x² − y² when x = 14 and y = 9.
13. 13.Use (a + b)² = a² + 2ab + b² to find 16².
14. 14.Use (a + b)² = a² + 2ab + b² to find 33².
15. 15.Find the value of x² − y² when x = 4 and y = 3.
16. 16.Use (a − b)² = a² − 2ab + b² to find 93².
17. 17.Use (a − b)² = a² − 2ab + b² to find 15².
18. 18.Use a² − b² = (a + b)(a − b) to find 50² − 10².
19. 19.Find the value of x² − 2xy + y² when x = 5 and y = 1.
20. 20.If a + b = 7 and ab = 6, what is a² + b²?
21. 21.Use (a + b)² = a² + 2ab + b² to find 19².
22. 22.If a + b = 4 and ab = 3, what is a² + b²?
23. 23.Use (a + b)(a − b) = a² − b² to find 48 × 32.
24. 24.Use (a − b)² = a² − 2ab + b² to find 63².
25. 25.Use (a + b)² = a² + 2ab + b² to find 68².
26. 26.Use (a − b)² = a² − 2ab + b² to find 43².
27. 27.Find the value of x² − y² when x = 9 and y = 1.
28. 28.If a + b = 6 and ab = 5, what is a² + b²?
29. 29.If a − b = 2 and ab = 48, what is a² + b²?
30. 30.Use (a − b)² = a² − 2ab + b² to find 67².
31. 31.Find the value of x² − y² when x = 10 and y = 7.
32. 32.Use a² − b² = (a + b)(a − b) to find 47² − 44².
33. 33.Use (a + b)² = a² + 2ab + b² to find 96².
34. 34.Use (a − b)² = a² − 2ab + b² to find 18².
35. 35.If a − b = 5 and ab = 24, what is a² + b²?
36. 36.Use (a − b)² = a² − 2ab + b² to find 91².
37. 37.If a − b = 4 and ab = 21, what is a² + b²?
38. 38.Use a² − b² = (a + b)(a − b) to find 45² − 36².
39. 39.Use a² − b² = (a + b)(a − b) to find 43² − 39².
40. 40.Use (a + b)² = a² + 2ab + b² to find 88².

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