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How would the expression x cubed minus 8 be rewritten using the difference of cubes?
Wiki User
∙ 9y ago
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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