Class 8 Maths Worksheet: Algebraic Identities

Maths worksheets lesson 61: Algebraic identities · Set 533 · 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 95².
2. 2.Use (a + b)² = a² + 2ab + b² to find 77².
3. 3.Use (a − b)² = a² − 2ab + b² to find 72².
4. 4.Use (a − b)² = a² − 2ab + b² to find 26².
5. 5.Use a² − b² = (a + b)(a − b) to find 55² − 44².
6. 6.Use (a − b)² = a² − 2ab + b² to find 25².
7. 7.Use (a + b)(a − b) = a² − b² to find 51 × 49.
8. 8.Use (a − b)² = a² − 2ab + b² to find 81².
9. 9.Use (a + b)(a − b) = a² − b² to find 42 × 38.
10. 10.Use a² − b² = (a + b)(a − b) to find 87² − 43².
11. 11.Use (a + b)² = a² + 2ab + b² to find 52².
12. 12.Use (a + b)² = a² + 2ab + b² to find 49².
13. 13.Use (a + b)² = a² + 2ab + b² to find 12².
14. 14.Use (a − b)² = a² − 2ab + b² to find 42².
15. 15.Use a² − b² = (a + b)(a − b) to find 27² − 26².
16. 16.Use a² − b² = (a + b)(a − b) to find 32² − 15².
17. 17.Use a² − b² = (a + b)(a − b) to find 65² − 2².
18. 18.Find the value of x² − y² when x = 12 and y = 2.
19. 19.Use (a + b)² = a² + 2ab + b² to find 18².
20. 20.Use (a + b)(a − b) = a² − b² to find 28 × 12.
21. 21.If a + b = 4 and ab = 3, what is a² + b²?
22. 22.If a + b = 9 and ab = 14, what is a² + b²?
23. 23.Use a² − b² = (a + b)(a − b) to find 59² − 28².
24. 24.If a − b = 1 and ab = 30, what is a² + b²?
25. 25.Find the value of x² + 2xy + y² when x = 15 and y = 12.
26. 26.Use (a − b)² = a² − 2ab + b² to find 67².
27. 27.Use a² − b² = (a + b)(a − b) to find 72² − 56².
28. 28.If a + b = 16 and ab = 55, what is a² + b²?
29. 29.Find the value of x² + 2xy + y² when x = 11 and y = 10.
30. 30.If a + b = 8 and ab = 12, what is a² + b²?
31. 31.Use (a + b)(a − b) = a² − b² to find 55 × 45.
32. 32.If a − b = 1 and ab = 2, what is a² + b²?
33. 33.Use (a + b)² = a² + 2ab + b² to find 27².
34. 34.Use a² − b² = (a + b)(a − b) to find 67² − 38².
35. 35.Use (a + b)² = a² + 2ab + b² to find 17².
36. 36.Use (a + b)² = a² + 2ab + b² to find 51².
37. 37.Use a² − b² = (a + b)(a − b) to find 71² − 32².
38. 38.If a + b = 11 and ab = 24, what is a² + b²?
39. 39.If a − b = 4 and ab = 5, what is a² + b²?
40. 40.Use (a + b)² = a² + 2ab + b² to find 96².

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