Class 8 Maths Worksheet: Algebraic Identities

Maths worksheets lesson 61: Algebraic identities · Set 567 · 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 27².
2. 2.Use (a + b)(a − b) = a² − b² to find 24 × 16.
3. 3.Use a² − b² = (a + b)(a − b) to find 71² − 55².
4. 4.Find the value of x² − y² when x = 15 and y = 11.
5. 5.Use (a + b)² = a² + 2ab + b² to find 72².
6. 6.Find the value of x² − y² when x = 10 and y = 3.
7. 7.Use a² − b² = (a + b)(a − b) to find 44² − 1².
8. 8.If a + b = 6 and ab = 8, what is a² + b²?
9. 9.Find the value of x² − 2xy + y² when x = 5 and y = 4.
10. 10.Use (a − b)² = a² − 2ab + b² to find 19².
11. 11.Use (a + b)(a − b) = a² − b² to find 55 × 45.
12. 12.If a + b = 8 and ab = 15, what is a² + b²?
13. 13.If a + b = 11 and ab = 10, what is a² + b²?
14. 14.Use (a + b)² = a² + 2ab + b² to find 48².
15. 15.Use a² − b² = (a + b)(a − b) to find 96² − 90².
16. 16.If a + b = 13 and ab = 12, what is a² + b²?
17. 17.Use (a + b)(a − b) = a² − b² to find 35 × 25.
18. 18.Use (a + b)² = a² + 2ab + b² to find 55².
19. 19.Use (a + b)² = a² + 2ab + b² to find 74².
20. 20.Use (a + b)(a − b) = a² − b² to find 97 × 83.
21. 21.If a − b = 5 and ab = 50, what is a² + b²?
22. 22.Use (a + b)² = a² + 2ab + b² to find 34².
23. 23.If a − b = 8 and ab = 9, what is a² + b²?
24. 24.If a − b = 2 and ab = 3, what is a² + b²?
25. 25.Use a² − b² = (a + b)(a − b) to find 97² − 40².
26. 26.Use (a − b)² = a² − 2ab + b² to find 95².
27. 27.Use (a + b)(a − b) = a² − b² to find 63 × 57.
28. 28.Use (a − b)² = a² − 2ab + b² to find 12².
29. 29.Use (a + b)² = a² + 2ab + b² to find 43².
30. 30.Use (a + b)(a − b) = a² − b² to find 62 × 58.
31. 31.If a + b = 4 and ab = 3, what is a² + b²?
32. 32.Find the value of x² − 2xy + y² when x = 3 and y = 1.
33. 33.Use a² − b² = (a + b)(a − b) to find 91² − 9².
34. 34.Use (a + b)² = a² + 2ab + b² to find 32².
35. 35.Use a² − b² = (a + b)(a − b) to find 74² − 6².
36. 36.If a + b = 7 and ab = 12, what is a² + b²?
37. 37.Use (a + b)(a − b) = a² − b² to find 93 × 87.
38. 38.Use (a − b)² = a² − 2ab + b² to find 15².
39. 39.Use (a + b)(a − b) = a² − b² to find 42 × 38.
40. 40.Use (a + b)(a − b) = a² − b² to find 22 × 18.

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