Class 8 Maths Worksheet: Algebraic Identities

Maths worksheets lesson 61: Algebraic identities · Set 297 · 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 89².
2. 2.Use (a + b)² = a² + 2ab + b² to find 22².
3. 3.Use a² − b² = (a + b)(a − b) to find 95² − 72².
4. 4.Use (a + b)² = a² + 2ab + b² to find 45².
5. 5.Use (a + b)² = a² + 2ab + b² to find 38².
6. 6.Use (a − b)² = a² − 2ab + b² to find 43².
7. 7.Use a² − b² = (a + b)(a − b) to find 82² − 2².
8. 8.Use (a − b)² = a² − 2ab + b² to find 71².
9. 9.Use a² − b² = (a + b)(a − b) to find 24² − 14².
10. 10.Find the value of x² − 2xy + y² when x = 12 and y = 4.
11. 11.Use (a + b)² = a² + 2ab + b² to find 32².
12. 12.Use (a − b)² = a² − 2ab + b² to find 26².
13. 13.Use (a + b)² = a² + 2ab + b² to find 68².
14. 14.Find the value of x² − y² when x = 7 and y = 1.
15. 15.Use (a + b)² = a² + 2ab + b² to find 72².
16. 16.Use (a − b)² = a² − 2ab + b² to find 64².
17. 17.Find the value of x² − y² when x = 11 and y = 1.
18. 18.Find the value of x² + 2xy + y² when x = 10 and y = 3.
19. 19.Use (a + b)(a − b) = a² − b² to find 88 × 72.
20. 20.Find the value of x² − 2xy + y² when x = 8 and y = 3.
21. 21.Use a² − b² = (a + b)(a − b) to find 91² − 45².
22. 22.Use (a + b)(a − b) = a² − b² to find 41 × 39.
23. 23.Use a² − b² = (a + b)(a − b) to find 86² − 23².
24. 24.Use (a − b)² = a² − 2ab + b² to find 98².
25. 25.Use (a − b)² = a² − 2ab + b² to find 34².
26. 26.Use a² − b² = (a + b)(a − b) to find 34² − 24².
27. 27.Use (a + b)² = a² + 2ab + b² to find 21².
28. 28.Use a² − b² = (a + b)(a − b) to find 36² − 28².
29. 29.Find the value of x² − y² when x = 15 and y = 3.
30. 30.Find the value of x² + 2xy + y² when x = 9 and y = 2.
31. 31.Find the value of x² − y² when x = 14 and y = 12.
32. 32.Use a² − b² = (a + b)(a − b) to find 91² − 67².
33. 33.If a + b = 9 and ab = 20, what is a² + b²?
34. 34.Use (a + b)(a − b) = a² − b² to find 46 × 34.
35. 35.Use (a + b)(a − b) = a² − b² to find 75 × 65.
36. 36.Use (a + b)² = a² + 2ab + b² to find 62².
37. 37.Find the value of x² + 2xy + y² when x = 11 and y = 4.
38. 38.Find the value of x² + 2xy + y² when x = 7 and y = 1.
39. 39.Use (a + b)(a − b) = a² − b² to find 25 × 15.
40. 40.Use a² − b² = (a + b)(a − b) to find 80² − 45².

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