Question 5 • Adv. Algebra II S1 Original
The sum and difference of cubes factor: m³ + 1 = (m + 1)(m² − m + 1) and m³ − 1 = (m − 1)(m² + m + 1). Also, m² − 1 = (m − 1)(m + 1). But m² + 1 is a sum of squares and does not factor into real linear factors, so the correct choice is C, m² + 1.
AI-written and checked against the verified answer.