Class 8 Maths Worksheet: Algebraic Identities

Maths worksheets lesson 61: Algebraic identities · Set 44 · 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 79².
2. 2.Find the value of x² − y² when x = 5 and y = 2.
3. 3.Find the value of x² + 2xy + y² when x = 4 and y = 1.
4. 4.Use (a + b)(a − b) = a² − b² to find 52 × 48.
5. 5.Find the value of x² − 2xy + y² when x = 4 and y = 3.
6. 6.Use (a + b)(a − b) = a² − b² to find 39 × 21.
7. 7.Use (a − b)² = a² − 2ab + b² to find 43².
8. 8.Use a² − b² = (a + b)(a − b) to find 35² − 6².
9. 9.Use (a − b)² = a² − 2ab + b² to find 21².
10. 10.Use (a − b)² = a² − 2ab + b² to find 53².
11. 11.Use (a − b)² = a² − 2ab + b² to find 75².
12. 12.Use a² − b² = (a + b)(a − b) to find 33² − 6².
13. 13.Use (a − b)² = a² − 2ab + b² to find 28².
14. 14.Use (a + b)(a − b) = a² − b² to find 21 × 19.
15. 15.If a − b = 1 and ab = 2, what is a² + b²?
16. 16.If a − b = 3 and ab = 88, what is a² + b²?
17. 17.Use (a + b)(a − b) = a² − b² to find 25 × 15.
18. 18.Use (a + b)² = a² + 2ab + b² to find 34².
19. 19.Use (a + b)(a − b) = a² − b² to find 103 × 97.
20. 20.Use a² − b² = (a + b)(a − b) to find 93² − 8².
21. 21.Find the value of x² − 2xy + y² when x = 12 and y = 2.
22. 22.Use (a − b)² = a² − 2ab + b² to find 99².
23. 23.If a − b = 1 and ab = 20, what is a² + b²?
24. 24.Use (a − b)² = a² − 2ab + b² to find 67².
25. 25.Use (a − b)² = a² − 2ab + b² to find 52².
26. 26.Use (a + b)(a − b) = a² − b² to find 101 × 99.
27. 27.Use a² − b² = (a + b)(a − b) to find 98² − 61².
28. 28.Use (a + b)(a − b) = a² − b² to find 106 × 94.
29. 29.Use (a − b)² = a² − 2ab + b² to find 46².
30. 30.Use (a + b)² = a² + 2ab + b² to find 77².
31. 31.Use (a + b)² = a² + 2ab + b² to find 86².
32. 32.Find the value of x² − y² when x = 14 and y = 10.
33. 33.Use a² − b² = (a + b)(a − b) to find 30² − 3².
34. 34.If a + b = 14 and ab = 48, what is a² + b²?
35. 35.Find the value of x² − 2xy + y² when x = 15 and y = 8.
36. 36.Use (a + b)² = a² + 2ab + b² to find 33².
37. 37.Use (a + b)² = a² + 2ab + b² to find 102².
38. 38.Use (a + b)(a − b) = a² − b² to find 56 × 44.
39. 39.Use (a − b)² = a² − 2ab + b² to find 88².
40. 40.Use a² − b² = (a + b)(a − b) to find 33² − 2².

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