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a³ + b³ formula is (a+b)(a² + b² – ab)

Explanation:

We know the formula of (a+b)³

(a+b)³ = a³ + b³ + 3ab(a+b)

=> a³ + b³ = (a+b)³ – 3ab(a + b)

=> a³ + b³ = (a+b)((a+b)² – 3ab)

=> a³ + b³ = (a+b)(a² + b² + 2ab – 3ab)

=> a³ + b³ = (a+b)(a² + b² – ab)