Advanced Math practice question

Answer: A. x³ − 1

Expand: x³ + x² + x − x² − x − 1 = x³ − 1 (the difference-of-cubes pattern).

Why the other answers are wrong

B. x³ + 1

x³ + 1 factors as (x + 1)(x² − x + 1), not this.

C. x³ − x² − 1

Check x = 2: (1)(7) = 7, but 8 − 4 − 1 = 3.

D. x³ − 2x² + 1

Check x = 2: 7 versus 8 − 8 + 1 = 1.

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