Class 8 Maths Worksheet: Algebraic Identities

Maths worksheets lesson 61: Algebraic identities · Set 744 · 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 22².
2. 2.Use (a + b)² = a² + 2ab + b² to find 71².
3. 3.Use a² − b² = (a + b)(a − b) to find 63² − 16².
4. 4.Use (a + b)(a − b) = a² − b² to find 57 × 43.
5. 5.Use (a − b)² = a² − 2ab + b² to find 95².
6. 6.Use (a + b)(a − b) = a² − b² to find 27 × 13.
7. 7.Use a² − b² = (a + b)(a − b) to find 30² − 13².
8. 8.Use (a − b)² = a² − 2ab + b² to find 19².
9. 9.Use (a + b)(a − b) = a² − b² to find 52 × 48.
10. 10.Use (a + b)² = a² + 2ab + b² to find 53².
11. 11.Use (a − b)² = a² − 2ab + b² to find 74².
12. 12.Use (a − b)² = a² − 2ab + b² to find 48².
13. 13.Use (a + b)(a − b) = a² − b² to find 23 × 17.
14. 14.Find the value of x² − y² when x = 6 and y = 3.
15. 15.Use (a + b)(a − b) = a² − b² to find 22 × 18.
16. 16.Use (a + b)(a − b) = a² − b² to find 26 × 14.
17. 17.Use a² − b² = (a + b)(a − b) to find 91² − 10².
18. 18.Use (a + b)² = a² + 2ab + b² to find 61².
19. 19.Use a² − b² = (a + b)(a − b) to find 43² − 15².
20. 20.Find the value of x² + 2xy + y² when x = 11 and y = 5.
21. 21.Use a² − b² = (a + b)(a − b) to find 23² − 13².
22. 22.Use (a + b)² = a² + 2ab + b² to find 34².
23. 23.Use (a + b)² = a² + 2ab + b² to find 33².
24. 24.Use (a − b)² = a² − 2ab + b² to find 67².
25. 25.If a − b = 4 and ab = 5, what is a² + b²?
26. 26.Find the value of x² − y² when x = 12 and y = 10.
27. 27.Use (a + b)² = a² + 2ab + b² to find 106².
28. 28.Use (a + b)² = a² + 2ab + b² to find 49².
29. 29.If a + b = 11 and ab = 24, what is a² + b²?
30. 30.Use (a + b)² = a² + 2ab + b² to find 13².
31. 31.If a − b = 6 and ab = 55, what is a² + b²?
32. 32.Use (a + b)² = a² + 2ab + b² to find 59².
33. 33.Use (a − b)² = a² − 2ab + b² to find 63².
34. 34.If a + b = 4 and ab = 3, what is a² + b²?
35. 35.Use a² − b² = (a + b)(a − b) to find 78² − 73².
36. 36.Use (a − b)² = a² − 2ab + b² to find 61².
37. 37.Use (a + b)(a − b) = a² − b² to find 74 × 66.
38. 38.Find the value of x² + 2xy + y² when x = 5 and y = 2.
39. 39.Use (a + b)² = a² + 2ab + b² to find 66².
40. 40.Use (a + b)² = a² + 2ab + b² to find 101².

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