Class 8 Maths Worksheet: Algebraic Identities

Maths worksheets lesson 61: Algebraic identities · Set 505 · 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.Find the value of x² − y² when x = 14 and y = 5.
2. 2.Use a² − b² = (a + b)(a − b) to find 85² − 44².
3. 3.If a + b = 13 and ab = 40, what is a² + b²?
4. 4.Use (a + b)(a − b) = a² − b² to find 43 × 37.
5. 5.Use (a + b)(a − b) = a² − b² to find 27 × 13.
6. 6.Use (a − b)² = a² − 2ab + b² to find 87².
7. 7.Use (a + b)(a − b) = a² − b² to find 76 × 64.
8. 8.Use (a + b)² = a² + 2ab + b² to find 62².
9. 9.If a − b = 11 and ab = 12, what is a² + b²?
10. 10.Find the value of x² + 2xy + y² when x = 5 and y = 2.
11. 11.Use (a + b)(a − b) = a² − b² to find 48 × 32.
12. 12.Use (a + b)² = a² + 2ab + b² to find 59².
13. 13.Use (a − b)² = a² − 2ab + b² to find 81².
14. 14.Find the value of x² − y² when x = 4 and y = 2.
15. 15.Use (a − b)² = a² − 2ab + b² to find 86².
16. 16.Find the value of x² − y² when x = 6 and y = 1.
17. 17.Use (a + b)(a − b) = a² − b² to find 104 × 96.
18. 18.Use (a + b)² = a² + 2ab + b² to find 53².
19. 19.Use (a + b)(a − b) = a² − b² to find 67 × 53.
20. 20.Use (a − b)² = a² − 2ab + b² to find 48².
21. 21.Find the value of x² + 2xy + y² when x = 13 and y = 4.
22. 22.If a + b = 3 and ab = 2, what is a² + b²?
23. 23.Use a² − b² = (a + b)(a − b) to find 91² − 5².
24. 24.If a + b = 16 and ab = 63, what is a² + b²?
25. 25.Use (a − b)² = a² − 2ab + b² to find 98².
26. 26.Use (a + b)² = a² + 2ab + b² to find 49².
27. 27.Use (a − b)² = a² − 2ab + b² to find 88².
28. 28.Use (a − b)² = a² − 2ab + b² to find 63².
29. 29.Use (a − b)² = a² − 2ab + b² to find 58².
30. 30.Use (a − b)² = a² − 2ab + b² to find 32².
31. 31.Find the value of x² + 2xy + y² when x = 13 and y = 10.
32. 32.If a − b = 1 and ab = 6, what is a² + b²?
33. 33.Use (a + b)² = a² + 2ab + b² to find 99².
34. 34.Use (a − b)² = a² − 2ab + b² to find 64².
35. 35.Use (a + b)² = a² + 2ab + b² to find 18².
36. 36.Use (a + b)² = a² + 2ab + b² to find 41².
37. 37.Find the value of x² − 2xy + y² when x = 9 and y = 7.
38. 38.Use (a + b)² = a² + 2ab + b² to find 28².
39. 39.Use (a + b)² = a² + 2ab + b² to find 78².
40. 40.Find the value of x² − y² when x = 5 and y = 1.

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