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Answer: (x - 2)(x² + 2x + 4)

Factor the difference of cubes:

a³ - b³ = (a - b)(a² + ab + b² )

note 8 = 2³ = 8 ⇒ b = 2 , with a = x

So

x³ - 8

= x³ - 2³

= (x - 2)(x² + 2x + 2²) = (x - 2)(x² + 2x + 4)

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Anonymous

5y ago

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