Class 8 Maths Worksheet: Algebraic Identities

Maths worksheets lesson 61: Algebraic identities · Set 376 · 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 63².
2. 2.Find the value of x² − 2xy + y² when x = 4 and y = 2.
3. 3.Find the value of x² − y² when x = 5 and y = 4.
4. 4.Find the value of x² + 2xy + y² when x = 3 and y = 1.
5. 5.Use (a − b)² = a² − 2ab + b² to find 19².
6. 6.Find the value of x² + 2xy + y² when x = 13 and y = 12.
7. 7.Find the value of x² + 2xy + y² when x = 6 and y = 2.
8. 8.Use (a + b)(a − b) = a² − b² to find 104 × 96.
9. 9.Use (a + b)² = a² + 2ab + b² to find 59².
10. 10.Use a² − b² = (a + b)(a − b) to find 51² − 10².
11. 11.Use (a + b)(a − b) = a² − b² to find 67 × 53.
12. 12.Find the value of x² + 2xy + y² when x = 6 and y = 3.
13. 13.Use (a + b)² = a² + 2ab + b² to find 61².
14. 14.Use (a − b)² = a² − 2ab + b² to find 68².
15. 15.Use (a + b)² = a² + 2ab + b² to find 14².
16. 16.Find the value of x² + 2xy + y² when x = 7 and y = 1.
17. 17.Use (a − b)² = a² − 2ab + b² to find 13².
18. 18.Use a² − b² = (a + b)(a − b) to find 95² − 25².
19. 19.Find the value of x² + 2xy + y² when x = 13 and y = 2.
20. 20.Use (a + b)² = a² + 2ab + b² to find 39².
21. 21.Use (a − b)² = a² − 2ab + b² to find 34².
22. 22.Use (a − b)² = a² − 2ab + b² to find 91².
23. 23.Use (a − b)² = a² − 2ab + b² to find 27².
24. 24.Find the value of x² − y² when x = 14 and y = 3.
25. 25.If a + b = 5 and ab = 4, what is a² + b²?
26. 26.Find the value of x² + 2xy + y² when x = 4 and y = 3.
27. 27.Use a² − b² = (a + b)(a − b) to find 69² − 52².
28. 28.Use a² − b² = (a + b)(a − b) to find 32² − 16².
29. 29.Find the value of x² − 2xy + y² when x = 13 and y = 3.
30. 30.Use (a − b)² = a² − 2ab + b² to find 64².
31. 31.Use (a − b)² = a² − 2ab + b² to find 96².
32. 32.Use (a + b)² = a² + 2ab + b² to find 12².
33. 33.Use (a − b)² = a² − 2ab + b² to find 35².
34. 34.Use (a + b)(a − b) = a² − b² to find 32 × 28.
35. 35.Find the value of x² − 2xy + y² when x = 6 and y = 2.
36. 36.Use (a + b)(a − b) = a² − b² to find 63 × 57.
37. 37.Find the value of x² + 2xy + y² when x = 4 and y = 2.
38. 38.Use (a − b)² = a² − 2ab + b² to find 26².
39. 39.Use a² − b² = (a + b)(a − b) to find 51² − 40².
40. 40.Use (a − b)² = a² − 2ab + b² to find 89².

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