Class 8 Maths Worksheet: Algebraic Identities

Maths worksheets lesson 61: Algebraic identities · Set 289 · 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 48².
2. 2.Use (a + b)(a − b) = a² − b² to find 34 × 26.
3. 3.Use (a + b)² = a² + 2ab + b² to find 83².
4. 4.Use (a + b)² = a² + 2ab + b² to find 86².
5. 5.Use (a + b)² = a² + 2ab + b² to find 67².
6. 6.Use (a + b)(a − b) = a² − b² to find 41 × 39.
7. 7.Use (a + b)² = a² + 2ab + b² to find 53².
8. 8.Find the value of x² − y² when x = 13 and y = 12.
9. 9.If a + b = 13 and ab = 22, what is a² + b²?
10. 10.Use (a − b)² = a² − 2ab + b² to find 34².
11. 11.Use (a + b)(a − b) = a² − b² to find 57 × 43.
12. 12.Use (a + b)² = a² + 2ab + b² to find 41².
13. 13.If a + b = 8 and ab = 7, what is a² + b²?
14. 14.Use (a + b)(a − b) = a² − b² to find 64 × 56.
15. 15.Use a² − b² = (a + b)(a − b) to find 29² − 4².
16. 16.Find the value of x² + 2xy + y² when x = 13 and y = 7.
17. 17.Use (a − b)² = a² − 2ab + b² to find 45².
18. 18.Use (a + b)² = a² + 2ab + b² to find 12².
19. 19.Find the value of x² + 2xy + y² when x = 6 and y = 2.
20. 20.Use (a + b)(a − b) = a² − b² to find 43 × 37.
21. 21.Find the value of x² + 2xy + y² when x = 12 and y = 8.
22. 22.Find the value of x² − 2xy + y² when x = 12 and y = 5.
23. 23.Use (a + b)(a − b) = a² − b² to find 47 × 33.
24. 24.Use a² − b² = (a + b)(a − b) to find 88² − 20².
25. 25.If a + b = 10 and ab = 9, what is a² + b²?
26. 26.Use a² − b² = (a + b)(a − b) to find 48² − 12².
27. 27.Use a² − b² = (a + b)(a − b) to find 84² − 5².
28. 28.Use a² − b² = (a + b)(a − b) to find 53² − 39².
29. 29.Use (a + b)(a − b) = a² − b² to find 26 × 14.
30. 30.Use a² − b² = (a + b)(a − b) to find 23² − 11².
31. 31.Find the value of x² + 2xy + y² when x = 10 and y = 6.
32. 32.Find the value of x² + 2xy + y² when x = 12 and y = 6.
33. 33.If a − b = 5 and ab = 6, what is a² + b²?
34. 34.Use (a + b)² = a² + 2ab + b² to find 23².
35. 35.Use (a + b)² = a² + 2ab + b² to find 94².
36. 36.Find the value of x² − y² when x = 5 and y = 3.
37. 37.Use (a − b)² = a² − 2ab + b² to find 93².
38. 38.Use a² − b² = (a + b)(a − b) to find 67² − 1².
39. 39.If a − b = 8 and ab = 9, what is a² + b²?
40. 40.Use (a + b)² = a² + 2ab + b² to find 13².

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