Class 8 Maths Worksheet: Algebraic Identities

Maths worksheets lesson 61: Algebraic identities · Set 793 · 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 94².
2. 2.If a − b = 1 and ab = 12, what is a² + b²?
3. 3.Use (a − b)² = a² − 2ab + b² to find 65².
4. 4.Find the value of x² + 2xy + y² when x = 8 and y = 5.
5. 5.Use (a + b)² = a² + 2ab + b² to find 31².
6. 6.Find the value of x² + 2xy + y² when x = 14 and y = 12.
7. 7.Use (a − b)² = a² − 2ab + b² to find 44².
8. 8.If a + b = 13 and ab = 42, what is a² + b²?
9. 9.Find the value of x² − y² when x = 5 and y = 3.
10. 10.If a + b = 7 and ab = 12, what is a² + b²?
11. 11.Use (a + b)(a − b) = a² − b² to find 81 × 79.
12. 12.Use (a + b)² = a² + 2ab + b² to find 63².
13. 13.Use (a + b)² = a² + 2ab + b² to find 17².
14. 14.Use (a + b)² = a² + 2ab + b² to find 18².
15. 15.Use (a + b)² = a² + 2ab + b² to find 51².
16. 16.Use (a + b)(a − b) = a² − b² to find 22 × 18.
17. 17.Use (a + b)² = a² + 2ab + b² to find 64².
18. 18.Find the value of x² + 2xy + y² when x = 4 and y = 1.
19. 19.Use a² − b² = (a + b)(a − b) to find 38² − 14².
20. 20.Use (a − b)² = a² − 2ab + b² to find 49².
21. 21.Use (a + b)(a − b) = a² − b² to find 42 × 38.
22. 22.Use (a + b)² = a² + 2ab + b² to find 23².
23. 23.Use (a + b)² = a² + 2ab + b² to find 101².
24. 24.Use (a + b)(a − b) = a² − b² to find 34 × 26.
25. 25.Find the value of x² − 2xy + y² when x = 10 and y = 1.
26. 26.Use a² − b² = (a + b)(a − b) to find 51² − 20².
27. 27.Use a² − b² = (a + b)(a − b) to find 98² − 15².
28. 28.If a − b = 4 and ab = 12, what is a² + b²?
29. 29.Find the value of x² + 2xy + y² when x = 12 and y = 3.
30. 30.Use (a + b)(a − b) = a² − b² to find 43 × 37.
31. 31.Use a² − b² = (a + b)(a − b) to find 27² − 5².
32. 32.Use (a + b)² = a² + 2ab + b² to find 61².
33. 33.Use (a + b)² = a² + 2ab + b² to find 85².
34. 34.If a + b = 17 and ab = 72, what is a² + b²?
35. 35.Use (a − b)² = a² − 2ab + b² to find 35².
36. 36.If a + b = 16 and ab = 63, what is a² + b²?
37. 37.Use (a + b)² = a² + 2ab + b² to find 32².
38. 38.Use (a − b)² = a² − 2ab + b² to find 28².
39. 39.If a − b = 6 and ab = 27, what is a² + b²?
40. 40.Use (a + b)(a − b) = a² − b² to find 51 × 49.

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