16. (t-16)²=t²-32t+16² 17. (17+ u)² = 17²+344+u² 2 2 18. (18-v = 18² - 36v + v² 19. (19+w)² = 192 + 38w+w² 20. (20-2)²= 20²-402 +2² 21. (2x + y)² = 2x² + 4xy + y² 22. (3a-b)²= a²-bab+b² 2+ 23. (4c + 2)2 = 4c²+ 24. (5d-3)²= 25. (6h + 4)² = 26. (7k - 2)² = 27. (3m + 4n)²= 28. (5p-6q)+60pq= 29. 2(x + y)²-4xy= 30. (3a-7b)²-42ab=

Ответ: смотри ниже

1. 23. \[(4c + 2)^2 = (4c)^2 + 2 \cdot 4c \cdot 2 + 2^2 = 16c^2 + 16c + 4\]

2. 24. \[(5d - 3)^2 = (5d)^2 - 2 \cdot 5d \cdot 3 + 3^2 = 25d^2 - 30d + 9\]

3. 25. \[(6h + 4)^2 = (6h)^2 + 2 \cdot 6h \cdot 4 + 4^2 = 36h^2 + 48h + 16\]

4. 26. \[(7k - 2)^2 = (7k)^2 - 2 \cdot 7k \cdot 2 + 2^2 = 49k^2 - 28k + 4\]

5. 27. \[(3m + 4n)^2 = (3m)^2 + 2 \cdot 3m \cdot 4n + (4n)^2 = 9m^2 + 24mn + 16n^2\]

6. 28. \[(5p - 6q)^2 + 60pq = (5p)^2 - 2 \cdot 5p \cdot 6q + (6q)^2 + 60pq = 25p^2 - 60pq + 36q^2 + 60pq = 25p^2 + 36q^2\]

7. 29. \[2(x + y)^2 - 4xy = 2(x^2 + 2xy + y^2) - 4xy = 2x^2 + 4xy + 2y^2 - 4xy = 2x^2 + 2y^2\]

8. 30. \[(3a - 7b)^2 - 42ab = (3a)^2 - 2 \cdot 3a \cdot 7b + (7b)^2 - 42ab = 9a^2 - 42ab + 49b^2 - 42ab = 9a^2 - 84ab + 49b^2\]

Ответ:

• 23. \(16c^2 + 16c + 4\)

• 24. \(25d^2 - 30d + 9\)

• 25. \(36h^2 + 48h + 16\)

• 26. \(49k^2 - 28k + 4\)

• 27. \(9m^2 + 24mn + 16n^2\)

• 28. \(25p^2 + 36q^2\)

• 29. \(2x^2 + 2y^2\)

• 30. \(9a^2 - 84ab + 49b^2\)

Ответ: смотри выше