Class 8 Maths Worksheet: Algebraic Identities

Maths worksheets lesson 61: Algebraic identities · Set 777 · 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 88².
2. 2.Use (a − b)² = a² − 2ab + b² to find 98².
3. 3.Use (a + b)² = a² + 2ab + b² to find 78².
4. 4.If a − b = 3 and ab = 18, what is a² + b²?
5. 5.Use a² − b² = (a + b)(a − b) to find 38² − 18².
6. 6.Use a² − b² = (a + b)(a − b) to find 21² − 9².
7. 7.Find the value of x² + 2xy + y² when x = 12 and y = 2.
8. 8.If a − b = 3 and ab = 70, what is a² + b²?
9. 9.Use (a + b)² = a² + 2ab + b² to find 31².
10. 10.Use a² − b² = (a + b)(a − b) to find 99² − 42².
11. 11.If a + b = 15 and ab = 56, what is a² + b²?
12. 12.Use (a − b)² = a² − 2ab + b² to find 12².
13. 13.Use (a − b)² = a² − 2ab + b² to find 24².
14. 14.If a − b = 2 and ab = 8, what is a² + b²?
15. 15.Use (a − b)² = a² − 2ab + b² to find 52².
16. 16.If a + b = 3 and ab = 2, what is a² + b²?
17. 17.Use (a − b)² = a² − 2ab + b² to find 99².
18. 18.Use (a + b)² = a² + 2ab + b² to find 92².
19. 19.Use (a − b)² = a² − 2ab + b² to find 78².
20. 20.Use a² − b² = (a + b)(a − b) to find 41² − 37².
21. 21.Find the value of x² − y² when x = 6 and y = 4.
22. 22.Use a² − b² = (a + b)(a − b) to find 61² − 50².
23. 23.Use a² − b² = (a + b)(a − b) to find 28² − 13².
24. 24.Use (a + b)² = a² + 2ab + b² to find 105².
25. 25.Use a² − b² = (a + b)(a − b) to find 57² − 3².
26. 26.Find the value of x² + 2xy + y² when x = 10 and y = 6.
27. 27.If a + b = 17 and ab = 60, what is a² + b²?
28. 28.Use (a + b)² = a² + 2ab + b² to find 47².
29. 29.Use (a + b)² = a² + 2ab + b² to find 82².
30. 30.Use (a + b)² = a² + 2ab + b² to find 108².
31. 31.Use (a + b)² = a² + 2ab + b² to find 93².
32. 32.Use (a − b)² = a² − 2ab + b² to find 19².
33. 33.Use (a + b)² = a² + 2ab + b² to find 91².
34. 34.Use a² − b² = (a + b)(a − b) to find 31² − 4².
35. 35.Use (a − b)² = a² − 2ab + b² to find 32².
36. 36.Use (a + b)² = a² + 2ab + b² to find 41².
37. 37.If a + b = 16 and ab = 55, what is a² + b²?
38. 38.Use a² − b² = (a + b)(a − b) to find 24² − 8².
39. 39.If a + b = 9 and ab = 18, what is a² + b²?
40. 40.Use a² − b² = (a + b)(a − b) to find 32² − 31².

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