1.(x+1)² 2. (a-3)² 3. (y+3)² 4. (8-4)² 5. (c+5)² 6. (6-d)² 7. (7+g)² 8. (8-h)² 9. (9+k)² 10.(10-m)² 11. (n + 11)² (p-12)² 13. (q +13)² 14. (r-14)² 15. (s +15)² 16. (t-16)² 17. (17+ u)² 18. (18-v)² 19. (19+ w)² 20. (20-z)² 21. (2x + y )² 22. (3a-b)² 23. (4c + 2)² 24. (5d-3)² 25. (6h + 4)² 26. (7k-2)² 27. (3m + 4n)² 28. (5p6q)²+60pq 29. 2(x+y)²-4xy 30. (3a-7b)²-42ab

Решим данные примеры, используя формулы сокращенного умножения:

1. \[(x+1)^2 = x^2 + 2x + 1\]
2. \[(a-3)^2 = a^2 - 6a + 9\]
3. \[(y+3)^2 = y^2 + 6y + 9\]
4. \[(8-4)^2 = 4^2 = 16\]
5. \[(c+5)^2 = c^2 + 10c + 25\]
6. \[(6-d)^2 = 36 - 12d + d^2\]
7. \[(7+g)^2 = 49 + 14g + g^2\]
8. \[(8-h)^2 = 64 - 16h + h^2\]
9. \[(9+k)^2 = 81 + 18k + k^2\]
10. \[(10-m)^2 = 100 - 20m + m^2\]
11. \[(n+11)^2 = n^2 + 22n + 121\]
12. \[(p-12)^2 = p^2 - 24p + 144\]
13. \[(q+13)^2 = q^2 + 26q + 169\]
14. \[(r-14)^2 = r^2 - 28r + 196\]
15. \[(s+15)^2 = s^2 + 30s + 225\]
16. \[(t-16)^2 = t^2 - 32t + 256\]
17. \[(17+u)^2 = 289 + 34u + u^2\]
18. \[(18-v)^2 = 324 - 36v + v^2\]
19. \[(19+w)^2 = 361 + 38w + w^2\]
20. \[(20-z)^2 = 400 - 40z + z^2\]
21. \[(2x+y)^2 = 4x^2 + 4xy + y^2\]
22. \[(3a-b)^2 = 9a^2 - 6ab + b^2\]
23. \[(4c+2)^2 = 16c^2 + 16c + 4\]
24. \[(5d-3)^2 = 25d^2 - 30d + 9\]
25. \[(6h+4)^2 = 36h^2 + 48h + 16\]
26. \[(7k-2)^2 = 49k^2 - 28k + 4\]
27. \[(3m+4n)^2 = 9m^2 + 24mn + 16n^2\]
28. \[(5p-6q)^2 + 60pq = 25p^2 - 60pq + 36q^2 + 60pq = 25p^2 + 36q^2\]
29. \[2(x+y)^2 - 4xy = 2(x^2 + 2xy + y^2) - 4xy = 2x^2 + 4xy + 2y^2 - 4xy = 2x^2 + 2y^2\]
30. \[(3a-7b)^2 - 42ab = 9a^2 - 42ab + 49b^2 - 42ab = 9a^2 - 84ab + 49b^2\]

Ответ: См. выше