Class 8 Maths Worksheet: Algebraic Identities

Maths worksheets lesson 61: Algebraic identities · Set 467 · 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.If a + b = 3 and ab = 2, what is a² + b²?
2. 2.Use (a + b)² = a² + 2ab + b² to find 64².
3. 3.Use (a − b)² = a² − 2ab + b² to find 97².
4. 4.Use (a + b)(a − b) = a² − b² to find 51 × 49.
5. 5.Use (a + b)² = a² + 2ab + b² to find 11².
6. 6.If a − b = 1 and ab = 6, what is a² + b²?
7. 7.Find the value of x² + 2xy + y² when x = 15 and y = 4.
8. 8.Use a² − b² = (a + b)(a − b) to find 41² − 36².
9. 9.Use (a − b)² = a² − 2ab + b² to find 79².
10. 10.If a − b = 7 and ab = 60, what is a² + b²?
11. 11.If a + b = 13 and ab = 30, what is a² + b²?
12. 12.Find the value of x² + 2xy + y² when x = 9 and y = 8.
13. 13.Find the value of x² − 2xy + y² when x = 11 and y = 4.
14. 14.Use (a + b)(a − b) = a² − b² to find 38 × 22.
15. 15.If a + b = 17 and ab = 70, what is a² + b²?
16. 16.Use (a − b)² = a² − 2ab + b² to find 49².
17. 17.Use (a + b)(a − b) = a² − b² to find 56 × 44.
18. 18.Use (a + b)(a − b) = a² − b² to find 49 × 31.
19. 19.Use (a + b)(a − b) = a² − b² to find 92 × 88.
20. 20.Use (a + b)(a − b) = a² − b² to find 91 × 89.
21. 21.Find the value of x² + 2xy + y² when x = 4 and y = 2.
22. 22.Use a² − b² = (a + b)(a − b) to find 94² − 6².
23. 23.Use (a + b)² = a² + 2ab + b² to find 61².
24. 24.Use (a + b)(a − b) = a² − b² to find 28 × 12.
25. 25.Use (a + b)² = a² + 2ab + b² to find 26².
26. 26.Find the value of x² + 2xy + y² when x = 13 and y = 10.
27. 27.Use (a + b)² = a² + 2ab + b² to find 33².
28. 28.Use (a − b)² = a² − 2ab + b² to find 47².
29. 29.Use a² − b² = (a + b)(a − b) to find 96² − 12².
30. 30.Use (a − b)² = a² − 2ab + b² to find 68².
31. 31.If a − b = 1 and ab = 2, what is a² + b²?
32. 32.Find the value of x² − 2xy + y² when x = 12 and y = 8.
33. 33.Use (a − b)² = a² − 2ab + b² to find 99².
34. 34.Use (a + b)² = a² + 2ab + b² to find 47².
35. 35.Use (a − b)² = a² − 2ab + b² to find 13².
36. 36.Use (a − b)² = a² − 2ab + b² to find 85².
37. 37.Find the value of x² − 2xy + y² when x = 8 and y = 7.
38. 38.Use (a + b)² = a² + 2ab + b² to find 102².
39. 39.If a − b = 7 and ab = 18, what is a² + b²?
40. 40.Use (a + b)² = a² + 2ab + b² to find 22².

Free maths worksheets lessons, practice and worksheets at talentjr.in/maths-worksheets