Answer:
D
Step-by-step explanation:
Given
(x - 5)³ = (x - 5)(x - 5)(x - 5)
Expand (x - 5)(x - 5) using FOIL then multiply the result by (x - 5)
(x - 5)(x - 5)
= x² - 5x - 5x + 25 = x² - 10x + 25, then
(x - 5)(x² - 10x + 25)
= x(x² - 10x + 25) - 5(x² - 10x + 25)
= x³ - 10x² + 25x - 5x² + 50x - 125 ← collect like terms
= x³ - 15x² + 75x - 125 → D
