Simplify the left-hand side to complete the proof: (a - b)(a^2 + ab + b^2) equiv

  1. a^3 - b^3
  2. a^3 + b^3
  3. (a - b)^3
  4. a^3 - 3a^2b + b^3
Answer

A) a^3 - b^3

Expanding and collecting like terms gives (a - b)(a^2 + ab + b^2) = a^3 - b^3. SLO M-09-B-15 · Knowledge

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