Answer:
x³ - 1
Explanation:
Given
(x - 1)(x² + x + 1)
Each term in the second factor is multiplied by each term in the first factor, that is
x(x² + x + 1) - 1(x² + x + 1) ← distribute parenthesis
x³ + x² + x - x² - x - 1 ← collect like terms
= x³ - 1