5. (7-6) 6. (z-1)2 7. (5a+3)2 8. (3y-4)2 9. (6+2c)2 10. (2a-3b)2 11. (5t+8z)2 12. (-3x+y)2 13. (a²-5)2 14. (a-b²)² 15. (a²-b²)²

Преобразуйте выражение в многочлен:

1. \( (7-6)^2 = 7^2 - 2 \cdot 7 \cdot 6 + 6^2 = 49 - 84 + 36 = 1 \)
2. \( (z-1)^2 = z^2 - 2 \cdot z \cdot 1 + 1^2 = z^2 - 2z + 1 \)
3. \( (5a+3)^2 = (5a)^2 + 2 \cdot 5a \cdot 3 + 3^2 = 25a^2 + 30a + 9 \)
4. \( (3y-4)^2 = (3y)^2 - 2 \cdot 3y \cdot 4 + 4^2 = 9y^2 - 24y + 16 \)
5. \( (6+2c)^2 = 6^2 + 2 \cdot 6 \cdot 2c + (2c)^2 = 36 + 24c + 4c^2 \)
6. \( (2a-3b)^2 = (2a)^2 - 2 \cdot 2a \cdot 3b + (3b)^2 = 4a^2 - 12ab + 9b^2 \)
7. \( (5t+8z)^2 = (5t)^2 + 2 \cdot 5t \cdot 8z + (8z)^2 = 25t^2 + 80tz + 64z^2 \)
8. \( (-3x+y)^2 = (-3x)^2 + 2 \cdot (-3x) \cdot y + y^2 = 9x^2 - 6xy + y^2 \)
9. \( (a^2-5)^2 = (a^2)^2 - 2 \cdot a^2 \cdot 5 + 5^2 = a^4 - 10a^2 + 25 \)
10. \( (a-b^2)^2 = a^2 - 2 \cdot a \cdot b^2 + (b^2)^2 = a^2 - 2ab^2 + b^4 \)
11. \( (a^2-b^2)^2 = (a^2)^2 - 2 \cdot a^2 \cdot b^2 + (b^2)^2 = a^4 - 2a^2b^2 + b^4 \)

Ответ: 1. 1; 2. z² - 2z + 1; 3. 25a² + 30a + 9; 4. 9y² - 24y + 16; 5. 36 + 24c + 4c²; 6. 4a² - 12ab + 9b²; 7. 25t² + 80tz + 64z²; 8. 9x² - 6xy + y²; 9. a⁴ - 10a² + 25; 10. a² - 2ab² + b⁴; 11. a⁴ - 2a²b² + b⁴.