Задание 2. Представить выражение в виде многочлена.

1. (a + 2)⁵ = a⁵ + 10a⁴ + 40a³ + 80a² + 80a + 32
2. (a+1)⁵ = a⁵ + 5a⁴ + 10a³ + 10a² + 5a + 1
3. (a+b)⁶ = a⁶ + 6a⁵b + 15a⁴b² + 20a³b³ + 15a²b⁴ + 6ab⁵ + b⁶
4. (a−b)⁶ = a⁶ - 6a⁵b + 15a⁴b² - 20a³b³ + 15a²b⁴ - 6ab⁵ + b⁶
5. (a-2)⁵ = a⁵ - 10a⁴ + 40a³ - 80a² + 80a - 32
6. (a-1)⁶ = a⁶ - 6a⁵ + 15a⁴ - 20a³ + 15a² - 6a + 1
7. (1+b)⁷ = 1 + 7b + 21b² + 35b³ + 35b⁴ + 21b⁵ + 7b⁶ + b⁷
8. (c+1)⁶ = c⁶ + 6c⁵ + 15c⁴ + 20c³ + 15c² + 6c + 1
9. (c+2)⁵ = c⁵ + 10c⁴ + 40c³ + 80c² + 80c + 32
10. (a + 3)⁵ = a⁵ + 15a⁴ + 90a³ + 270a² + 405a + 243
11. (2a+b)⁶ = 64a⁶ + 192a⁵b + 240a⁴b² + 160a³b³ + 60a²b⁴ + 12ab⁵ + b⁶
12. (a-2b)⁶ = a⁶ - 12a⁵b + 60a⁴b² - 160a³b³ + 240a²b⁴ - 192ab⁵ + 64b⁶
13. (a+b)⁷ = a⁷ + 7a⁶b + 21a⁵b² + 35a⁴b³ + 35a³b⁴ + 21a²b⁵ + 7ab⁶ + b⁷
14. (a+b)⁸ = a⁸ + 8a⁷b + 28a⁶b² + 56a⁵b³ + 70a⁴b⁴ + 56a³b⁵ + 28a²b⁶ + 8ab⁷ + b⁸
15. (a+b)⁹ = a⁹ + 9a⁸b + 36a⁷b² + 84a⁶b³ + 126a⁵b⁴ + 126a⁴b⁵ + 84a³b⁶ + 36a²b⁷ + 9ab⁸ + b⁹
16. (c+2)⁵ = c⁵ + 10c⁴ + 40c³ + 80c² + 80c + 32
17. (c+1)⁵ = c⁵ + 5c⁴ + 10c³ + 10c² + 5c + 1
18. (a+2b)⁶ = a⁶ + 12a⁵b + 60a⁴b² + 160a³b³ + 240a²b⁴ + 192ab⁵ + 64b⁶
19. (a-b)⁸ = a⁸ - 8a⁷b + 28a⁶b² - 56a⁵b³ + 70a⁴b⁴ - 56a³b⁵ + 28a²b⁶ - 8ab⁷ + b⁸
20. (3a + 2)⁵ = 243a⁵ + 405a⁴ + 270a³ + 90a² + 15a + 32
21. (a-1)⁶ = a⁶ - 6a⁵ + 15a⁴ - 20a³ + 15a² - 6a + 1
22. (1+b)⁹ = 1 + 9b + 36b² + 84b³ + 126b⁴ + 126b⁵ + 84b⁶ + 36b⁷ + 9b⁸ + b⁹
23. (c-1)⁶ = c⁶ - 6c⁵ + 15c⁴ - 20c³ + 15c² - 6c + 1
24. (c + 3)⁵ = c⁵ + 15c⁴ + 90c³ + 270c² + 405c + 243
25. (a-2b)⁵ = a⁵ - 10a⁴(2b) + 40a³(2b)² - 80a²(2b)³ + 80a(2b)⁴ - 32(2b)⁵ = a⁵ - 20a⁴b + 160a³b² - 640a²b³ + 1280ab⁴ - 1024b⁵