Class 8 Maths Worksheet: Algebraic Identities

Maths worksheets lesson 61: Algebraic identities · Set 921 · 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 99².
2. 2.Use (a − b)² = a² − 2ab + b² to find 79².
3. 3.Use (a + b)² = a² + 2ab + b² to find 48².
4. 4.Use (a + b)(a − b) = a² − b² to find 24 × 16.
5. 5.Use (a − b)² = a² − 2ab + b² to find 78².
6. 6.Use (a + b)(a − b) = a² − b² to find 89 × 71.
7. 7.Find the value of x² + 2xy + y² when x = 11 and y = 8.
8. 8.Use a² − b² = (a + b)(a − b) to find 33² − 29².
9. 9.Use (a − b)² = a² − 2ab + b² to find 36².
10. 10.Use (a + b)² = a² + 2ab + b² to find 51².
11. 11.Use (a + b)(a − b) = a² − b² to find 26 × 14.
12. 12.If a + b = 9 and ab = 20, what is a² + b²?
13. 13.Find the value of x² − 2xy + y² when x = 6 and y = 3.
14. 14.Use (a − b)² = a² − 2ab + b² to find 53².
15. 15.Use (a + b)(a − b) = a² − b² to find 33 × 27.
16. 16.Use a² − b² = (a + b)(a − b) to find 77² − 35².
17. 17.If a − b = 4 and ab = 96, what is a² + b²?
18. 18.If a − b = 5 and ab = 14, what is a² + b²?
19. 19.Use (a + b)² = a² + 2ab + b² to find 34².
20. 20.Use (a + b)(a − b) = a² − b² to find 47 × 33.
21. 21.Use a² − b² = (a + b)(a − b) to find 98² − 5².
22. 22.Use a² − b² = (a + b)(a − b) to find 79² − 56².
23. 23.Use (a + b)² = a² + 2ab + b² to find 33².
24. 24.Use (a − b)² = a² − 2ab + b² to find 87².
25. 25.Use (a − b)² = a² − 2ab + b² to find 29².
26. 26.Find the value of x² + 2xy + y² when x = 7 and y = 4.
27. 27.Use a² − b² = (a + b)(a − b) to find 82² − 60².
28. 28.Use (a + b)² = a² + 2ab + b² to find 26².
29. 29.Use (a + b)² = a² + 2ab + b² to find 43².
30. 30.Use (a − b)² = a² − 2ab + b² to find 97².
31. 31.Use (a + b)² = a² + 2ab + b² to find 46².
32. 32.Use (a + b)² = a² + 2ab + b² to find 78².
33. 33.Use (a + b)² = a² + 2ab + b² to find 76².
34. 34.Use a² − b² = (a + b)(a − b) to find 25² − 1².
35. 35.Use (a + b)(a − b) = a² − b² to find 94 × 86.
36. 36.Use (a + b)² = a² + 2ab + b² to find 14².
37. 37.Use (a − b)² = a² − 2ab + b² to find 44².
38. 38.Use (a + b)(a − b) = a² − b² to find 95 × 85.
39. 39.If a + b = 14 and ab = 40, what is a² + b²?
40. 40.Find the value of x² − 2xy + y² when x = 12 and y = 8.

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