Class 8 Maths Worksheet: Algebraic Identities

Maths worksheets lesson 61: Algebraic identities · Set 619 · 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 27².
2. 2.Use a² − b² = (a + b)(a − b) to find 69² − 14².
3. 3.Use (a − b)² = a² − 2ab + b² to find 18².
4. 4.Use (a + b)² = a² + 2ab + b² to find 96².
5. 5.Use (a − b)² = a² − 2ab + b² to find 92².
6. 6.Use (a + b)² = a² + 2ab + b² to find 53².
7. 7.If a + b = 17 and ab = 60, what is a² + b²?
8. 8.Find the value of x² − 2xy + y² when x = 5 and y = 1.
9. 9.Use (a + b)² = a² + 2ab + b² to find 88².
10. 10.Use (a + b)² = a² + 2ab + b² to find 32².
11. 11.Use a² − b² = (a + b)(a − b) to find 97² − 40².
12. 12.Find the value of x² + 2xy + y² when x = 5 and y = 2.
13. 13.Use a² − b² = (a + b)(a − b) to find 50² − 1².
14. 14.Use (a + b)(a − b) = a² − b² to find 68 × 52.
15. 15.Use a² − b² = (a + b)(a − b) to find 43² − 4².
16. 16.If a + b = 12 and ab = 27, what is a² + b²?
17. 17.Find the value of x² + 2xy + y² when x = 15 and y = 2.
18. 18.Find the value of x² − y² when x = 5 and y = 1.
19. 19.Use (a − b)² = a² − 2ab + b² to find 79².
20. 20.If a + b = 15 and ab = 44, what is a² + b²?
21. 21.Find the value of x² − 2xy + y² when x = 14 and y = 11.
22. 22.Use a² − b² = (a + b)(a − b) to find 28² − 3².
23. 23.Use (a − b)² = a² − 2ab + b² to find 98².
24. 24.Find the value of x² − 2xy + y² when x = 13 and y = 2.
25. 25.Find the value of x² + 2xy + y² when x = 5 and y = 4.
26. 26.Use (a − b)² = a² − 2ab + b² to find 11².
27. 27.Use (a + b)² = a² + 2ab + b² to find 23².
28. 28.Use (a − b)² = a² − 2ab + b² to find 73².
29. 29.Use (a − b)² = a² − 2ab + b² to find 21².
30. 30.Find the value of x² + 2xy + y² when x = 6 and y = 3.
31. 31.Use (a + b)(a − b) = a² − b² to find 42 × 38.
32. 32.Find the value of x² + 2xy + y² when x = 5 and y = 3.
33. 33.Use a² − b² = (a + b)(a − b) to find 64² − 26².
34. 34.If a − b = 10 and ab = 24, what is a² + b²?
35. 35.Use (a + b)(a − b) = a² − b² to find 82 × 78.
36. 36.If a + b = 10 and ab = 16, what is a² + b²?
37. 37.Use (a + b)(a − b) = a² − b² to find 77 × 63.
38. 38.Use a² − b² = (a + b)(a − b) to find 51² − 8².
39. 39.Use (a + b)² = a² + 2ab + b² to find 55².
40. 40.Find the value of x² + 2xy + y² when x = 6 and y = 4.

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