Class 8 Maths Worksheet: Algebraic Identities

Maths worksheets lesson 61: Algebraic identities · Set 328 · 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 98 × 82.
2. 2.Use (a + b)² = a² + 2ab + b² to find 59².
3. 3.Use (a − b)² = a² − 2ab + b² to find 61².
4. 4.Use (a + b)² = a² + 2ab + b² to find 53².
5. 5.Use (a − b)² = a² − 2ab + b² to find 77².
6. 6.Use (a + b)² = a² + 2ab + b² to find 105².
7. 7.Find the value of x² + 2xy + y² when x = 11 and y = 2.
8. 8.Use (a − b)² = a² − 2ab + b² to find 59².
9. 9.Find the value of x² − 2xy + y² when x = 13 and y = 4.
10. 10.Use (a − b)² = a² − 2ab + b² to find 48².
11. 11.Use (a − b)² = a² − 2ab + b² to find 99².
12. 12.Use a² − b² = (a + b)(a − b) to find 23² − 6².
13. 13.Use (a + b)² = a² + 2ab + b² to find 56².
14. 14.Use (a − b)² = a² − 2ab + b² to find 53².
15. 15.Find the value of x² + 2xy + y² when x = 3 and y = 2.
16. 16.Use (a + b)(a − b) = a² − b² to find 79 × 61.
17. 17.Use (a + b)² = a² + 2ab + b² to find 72².
18. 18.Use (a − b)² = a² − 2ab + b² to find 32².
19. 19.Use (a + b)² = a² + 2ab + b² to find 13².
20. 20.Use (a − b)² = a² − 2ab + b² to find 82².
21. 21.Use (a + b)² = a² + 2ab + b² to find 28².
22. 22.Find the value of x² − y² when x = 15 and y = 6.
23. 23.Use (a − b)² = a² − 2ab + b² to find 72².
24. 24.Use (a + b)² = a² + 2ab + b² to find 14².
25. 25.Use a² − b² = (a + b)(a − b) to find 89² − 48².
26. 26.Use (a + b)² = a² + 2ab + b² to find 103².
27. 27.Find the value of x² − 2xy + y² when x = 12 and y = 1.
28. 28.If a + b = 6 and ab = 5, what is a² + b²?
29. 29.Use (a − b)² = a² − 2ab + b² to find 33².
30. 30.Use (a + b)(a − b) = a² − b² to find 25 × 15.
31. 31.Use (a + b)² = a² + 2ab + b² to find 42².
32. 32.Use (a − b)² = a² − 2ab + b² to find 18².
33. 33.Use (a − b)² = a² − 2ab + b² to find 88².
34. 34.Find the value of x² − y² when x = 13 and y = 7.
35. 35.If a − b = 10 and ab = 24, what is a² + b²?
36. 36.Use (a + b)(a − b) = a² − b² to find 52 × 48.
37. 37.Use (a + b)² = a² + 2ab + b² to find 16².
38. 38.Use a² − b² = (a + b)(a − b) to find 45² − 7².
39. 39.Use (a + b)(a − b) = a² − b² to find 28 × 12.
40. 40.Use (a − b)² = a² − 2ab + b² to find 75².

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