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LCM of a³ + b³ and a² – ab + b²?
  1. a² + b²
  2. a³ + b³
  3. a⁴ + b⁴
  4. None of these
Explanation

Factor the first expression:  

a³ + b³ = (a + b)(a² − ab + b²) → sum of cubes formula

Second expression: a² − ab + b²

So LCM = product of common + non-common factors  

= (a + b)(a² − ab + b²)  

= a³ + b³


Last verified on 09-06-2026

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