LCM of a³ + b³ and a² – ab + b²?
- a² + b²
- a³ + b³
- a⁴ + b⁴
- 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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