Class 8 Maths Worksheet: Algebraic Identities

Maths worksheets lesson 61: Algebraic identities · Set 895 · 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 a² − b² = (a + b)(a − b) to find 93² − 80².
2. 2.Use (a + b)² = a² + 2ab + b² to find 82².
3. 3.Use (a + b)(a − b) = a² − b² to find 46 × 34.
4. 4.Use a² − b² = (a + b)(a − b) to find 26² − 22².
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 88 × 72.
7. 7.Use (a + b)(a − b) = a² − b² to find 43 × 37.
8. 8.Use (a − b)² = a² − 2ab + b² to find 91².
9. 9.Use (a + b)² = a² + 2ab + b² to find 63².
10. 10.Use (a + b)² = a² + 2ab + b² to find 22².
11. 11.Use (a − b)² = a² − 2ab + b² to find 49².
12. 12.Use (a − b)² = a² − 2ab + b² to find 35².
13. 13.Find the value of x² + 2xy + y² when x = 13 and y = 8.
14. 14.Use (a − b)² = a² − 2ab + b² to find 27².
15. 15.Use a² − b² = (a + b)(a − b) to find 71² − 27².
16. 16.Use a² − b² = (a + b)(a − b) to find 62² − 44².
17. 17.Use (a + b)(a − b) = a² − b² to find 32 × 28.
18. 18.Find the value of x² + 2xy + y² when x = 12 and y = 8.
19. 19.Use (a + b)² = a² + 2ab + b² to find 27².
20. 20.Use (a − b)² = a² − 2ab + b² to find 26².
21. 21.If a − b = 4 and ab = 5, what is a² + b²?
22. 22.Find the value of x² + 2xy + y² when x = 14 and y = 4.
23. 23.Use (a − b)² = a² − 2ab + b² to find 69².
24. 24.Use (a − b)² = a² − 2ab + b² to find 64².
25. 25.Use (a − b)² = a² − 2ab + b² to find 85².
26. 26.Use (a + b)(a − b) = a² − b² to find 25 × 15.
27. 27.Use (a + b)(a − b) = a² − b² to find 93 × 87.
28. 28.Find the value of x² + 2xy + y² when x = 3 and y = 2.
29. 29.Use a² − b² = (a + b)(a − b) to find 66² − 10².
30. 30.Use (a − b)² = a² − 2ab + b² to find 13².
31. 31.Use (a − b)² = a² − 2ab + b² to find 73².
32. 32.Find the value of x² − y² when x = 12 and y = 6.
33. 33.Find the value of x² + 2xy + y² when x = 8 and y = 7.
34. 34.Find the value of x² − y² when x = 4 and y = 3.
35. 35.Use (a − b)² = a² − 2ab + b² to find 24².
36. 36.Use (a + b)² = a² + 2ab + b² to find 61².
37. 37.If a + b = 9 and ab = 18, what is a² + b²?
38. 38.Find the value of x² + 2xy + y² when x = 7 and y = 4.
39. 39.Find the value of x² − y² when x = 3 and y = 2.
40. 40.Use (a − b)² = a² − 2ab + b² to find 46².

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