(c-4)² - 3(4-c)³ = (c-4)(c-4) - 3(4-c)(4-c)(4-c)(c-4)² - 3(4-c)³ = (c-4)² - 3(4-c)²(4-c)(c-4)² - 3(4-c)³ = (c-4)² - 3(16 - 8c + c²)(c-4)² - 3(4-c)³ = (c-4)² - 48 + 24c - 3c²(c-4)² - 3(4-c)³ = c² - 8c + 16 - 48 + 24c - 3c²(c-4)² - 3(4-c)³ = c² - 3c² - 8c + 24c + 16 - 48(c-4)² - 3(4-c)³ = -2c² + 16c - 32
Итак, разложенное выражение: -2c² + 16c - 32.
(c-4)² - 3(4-c)³ = (c-4)(c-4) - 3(4-c)(4-c)(4-c)
(c-4)² - 3(4-c)³ = (c-4)² - 3(4-c)²(4-c)
(c-4)² - 3(4-c)³ = (c-4)² - 3(16 - 8c + c²)
(c-4)² - 3(4-c)³ = (c-4)² - 48 + 24c - 3c²
(c-4)² - 3(4-c)³ = c² - 8c + 16 - 48 + 24c - 3c²
(c-4)² - 3(4-c)³ = c² - 3c² - 8c + 24c + 16 - 48
(c-4)² - 3(4-c)³ = -2c² + 16c - 32
Итак, разложенное выражение: -2c² + 16c - 32.