Class 8 Maths Worksheet: Algebraic Identities

Maths worksheets lesson 61: Algebraic identities · Set 847 · 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 108².
2. 2.Use (a + b)(a − b) = a² − b² to find 106 × 94.
3. 3.Find the value of x² + 2xy + y² when x = 10 and y = 5.
4. 4.Find the value of x² + 2xy + y² when x = 12 and y = 11.
5. 5.Use (a + b)² = a² + 2ab + b² to find 101².
6. 6.Use a² − b² = (a + b)(a − b) to find 41² − 39².
7. 7.If a − b = 1 and ab = 12, what is a² + b²?
8. 8.Use (a − b)² = a² − 2ab + b² to find 37².
9. 9.Use (a + b)² = a² + 2ab + b² to find 57².
10. 10.Use (a + b)(a − b) = a² − b² to find 36 × 24.
11. 11.Find the value of x² + 2xy + y² when x = 10 and y = 7.
12. 12.Find the value of x² + 2xy + y² when x = 13 and y = 8.
13. 13.Find the value of x² + 2xy + y² when x = 12 and y = 2.
14. 14.Use a² − b² = (a + b)(a − b) to find 36² − 17².
15. 15.If a + b = 12 and ab = 11, what is a² + b²?
16. 16.Use (a + b)² = a² + 2ab + b² to find 82².
17. 17.Use (a − b)² = a² − 2ab + b² to find 84².
18. 18.Use a² − b² = (a + b)(a − b) to find 59² − 54².
19. 19.Find the value of x² + 2xy + y² when x = 8 and y = 2.
20. 20.Use a² − b² = (a + b)(a − b) to find 97² − 11².
21. 21.If a − b = 2 and ab = 15, what is a² + b²?
22. 22.Use a² − b² = (a + b)(a − b) to find 94² − 1².
23. 23.Find the value of x² − 2xy + y² when x = 3 and y = 1.
24. 24.Find the value of x² − y² when x = 4 and y = 1.
25. 25.If a − b = 9 and ab = 36, what is a² + b²?
26. 26.Use a² − b² = (a + b)(a − b) to find 56² − 3².
27. 27.Use (a + b)² = a² + 2ab + b² to find 41².
28. 28.If a + b = 5 and ab = 4, what is a² + b²?
29. 29.Use (a + b)(a − b) = a² − b² to find 87 × 73.
30. 30.If a + b = 6 and ab = 8, what is a² + b²?
31. 31.If a − b = 4 and ab = 5, what is a² + b²?
32. 32.Use (a + b)(a − b) = a² − b² to find 78 × 62.
33. 33.If a − b = 6 and ab = 7, what is a² + b²?
34. 34.Find the value of x² + 2xy + y² when x = 13 and y = 4.
35. 35.Use a² − b² = (a + b)(a − b) to find 72² − 18².
36. 36.Use a² − b² = (a + b)(a − b) to find 92² − 1².
37. 37.If a − b = 2 and ab = 8, what is a² + b²?
38. 38.Use (a + b)² = a² + 2ab + b² to find 88².
39. 39.Use (a + b)² = a² + 2ab + b² to find 31².
40. 40.Use (a + b)(a − b) = a² − b² to find 91 × 89.

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