Class 8 Maths Worksheet: Algebraic Identities

Maths worksheets lesson 61: Algebraic identities · Set 194 · 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)(a − b) = a² − b² to find 35 × 25.
2. 2.Find the value of x² + 2xy + y² when x = 10 and y = 7.
3. 3.Use a² − b² = (a + b)(a − b) to find 97² − 4².
4. 4.Use (a + b)² = a² + 2ab + b² to find 12².
5. 5.If a − b = 2 and ab = 15, what is a² + b²?
6. 6.Use (a − b)² = a² − 2ab + b² to find 38².
7. 7.Use (a − b)² = a² − 2ab + b² to find 82².
8. 8.Use a² − b² = (a + b)(a − b) to find 58² − 36².
9. 9.Find the value of x² − y² when x = 3 and y = 2.
10. 10.Find the value of x² + 2xy + y² when x = 11 and y = 2.
11. 11.Use (a + b)² = a² + 2ab + b² to find 11².
12. 12.Find the value of x² + 2xy + y² when x = 9 and y = 4.
13. 13.Use (a + b)(a − b) = a² − b² to find 48 × 32.
14. 14.If a − b = 1 and ab = 132, what is a² + b²?
15. 15.Use (a − b)² = a² − 2ab + b² to find 34².
16. 16.Use (a + b)(a − b) = a² − b² to find 29 × 11.
17. 17.Find the value of x² − 2xy + y² when x = 6 and y = 5.
18. 18.If a + b = 3 and ab = 2, what is a² + b²?
19. 19.If a − b = 1 and ab = 2, what is a² + b²?
20. 20.Use (a + b)(a − b) = a² − b² to find 27 × 13.
21. 21.If a + b = 12 and ab = 32, what is a² + b²?
22. 22.Use a² − b² = (a + b)(a − b) to find 57² − 54².
23. 23.Use (a − b)² = a² − 2ab + b² to find 46².
24. 24.Use (a + b)² = a² + 2ab + b² to find 99².
25. 25.Use (a + b)(a − b) = a² − b² to find 39 × 21.
26. 26.If a + b = 19 and ab = 90, what is a² + b²?
27. 27.Find the value of x² − y² when x = 5 and y = 3.
28. 28.Use (a + b)(a − b) = a² − b² to find 107 × 93.
29. 29.Use (a + b)² = a² + 2ab + b² to find 54².
30. 30.Use (a + b)² = a² + 2ab + b² to find 53².
31. 31.Find the value of x² − 2xy + y² when x = 14 and y = 4.
32. 32.Use (a − b)² = a² − 2ab + b² to find 74².
33. 33.Find the value of x² + 2xy + y² when x = 11 and y = 10.
34. 34.Use a² − b² = (a + b)(a − b) to find 97² − 40².
35. 35.Find the value of x² − y² when x = 5 and y = 4.
36. 36.Use (a + b)² = a² + 2ab + b² to find 101².
37. 37.Use a² − b² = (a + b)(a − b) to find 75² − 43².
38. 38.Use (a + b)² = a² + 2ab + b² to find 62².
39. 39.Use a² − b² = (a + b)(a − b) to find 37² − 6².
40. 40.Use a² − b² = (a + b)(a − b) to find 21² − 5².

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