Answer:
x³ - x² - 22x + 10
Step-by-step explanation:
Given
(x - 5)(x² + 4x - 2)
Each term in the second factor is multiplied by each term in the first factor, that is
x(x² + 4x - 2) - 5(x² + 4x - 2) ← distribute both parenthesis
= x³ + 4x² - 2x - 5x² - 20x + 10 ← collect like terms
= x³ + (4x² - 5x²) + (- 2x - 20x) + 10
= x³ + (- x²) + (- 22x) + 10
= x³ - x² - 22x + 10
