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Factor completely 3x^3 - 12x

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Answer
3x(x−2)(x+2)\boxed{3x(x - 2)(x + 2)}

Expanding the factored form yields 3x(x2−4)=3x3−12x3x(x^2 - 4) = 3x^3 - 12x, which matches the original expression.

Problem: Factor completely the polynomial 3x3−12x3x^3 - 12x.

Steps

  1. Factor out the greatest common factor
    3x(x2−4)3x(x^2 - 4)
  2. Factor the difference of squares
    3x(x−2)(x+2)3x(x - 2)(x + 2)

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