Class 8 Maths Worksheet: Algebraic Identities

Maths worksheets lesson 61: Algebraic identities · Set 188 · 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 87².
2. 2.Use (a − b)² = a² − 2ab + b² to find 33².
3. 3.Find the value of x² − 2xy + y² when x = 11 and y = 3.
4. 4.Use (a − b)² = a² − 2ab + b² to find 25².
5. 5.Use (a − b)² = a² − 2ab + b² to find 81².
6. 6.Use (a + b)(a − b) = a² − b² to find 94 × 86.
7. 7.Use (a + b)(a − b) = a² − b² to find 71 × 69.
8. 8.Find the value of x² − 2xy + y² when x = 13 and y = 8.
9. 9.Use a² − b² = (a + b)(a − b) to find 41² − 31².
10. 10.Use a² − b² = (a + b)(a − b) to find 26² − 24².
11. 11.Find the value of x² − y² when x = 12 and y = 2.
12. 12.Use (a + b)(a − b) = a² − b² to find 106 × 94.
13. 13.Find the value of x² + 2xy + y² when x = 6 and y = 4.
14. 14.Use a² − b² = (a + b)(a − b) to find 93² − 24².
15. 15.Use a² − b² = (a + b)(a − b) to find 60² − 3².
16. 16.If a + b = 12 and ab = 11, what is a² + b²?
17. 17.If a + b = 5 and ab = 6, what is a² + b²?
18. 18.Use (a + b)² = a² + 2ab + b² to find 22².
19. 19.If a + b = 3 and ab = 2, what is a² + b²?
20. 20.Use (a − b)² = a² − 2ab + b² to find 48².
21. 21.Use a² − b² = (a + b)(a − b) to find 39² − 33².
22. 22.Find the value of x² − y² when x = 10 and y = 5.
23. 23.Use a² − b² = (a + b)(a − b) to find 93² − 73².
24. 24.Find the value of x² + 2xy + y² when x = 14 and y = 2.
25. 25.Find the value of x² + 2xy + y² when x = 3 and y = 1.
26. 26.Use (a + b)² = a² + 2ab + b² to find 34².
27. 27.If a + b = 13 and ab = 42, what is a² + b²?
28. 28.Use (a + b)² = a² + 2ab + b² to find 94².
29. 29.Use a² − b² = (a + b)(a − b) to find 98² − 16².
30. 30.Use (a + b)² = a² + 2ab + b² to find 104².
31. 31.Find the value of x² − y² when x = 15 and y = 4.
32. 32.If a + b = 6 and ab = 5, what is a² + b²?
33. 33.If a + b = 16 and ab = 60, what is a² + b²?
34. 34.Use (a + b)² = a² + 2ab + b² to find 21².
35. 35.Use (a + b)² = a² + 2ab + b² to find 29².
36. 36.Use (a + b)² = a² + 2ab + b² to find 11².
37. 37.Use (a + b)(a − b) = a² − b² to find 69 × 51.
38. 38.Find the value of x² − 2xy + y² when x = 5 and y = 3.
39. 39.Use (a + b)² = a² + 2ab + b² to find 17².
40. 40.Use (a + b)² = a² + 2ab + b² to find 53².

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