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27 November, 00:59

Factor completely

(X^2 + x - 6) (2x^2 + 4x) =

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Answers (1)
  1. 27 November, 01:10
    0
    = 2x^4 + 6x^3 - 8x^2 + 24x

    = 2x (2x^3 + 3x^2 - 4x + 12)

    Step-by-step explanation:

    (X^2 + x - 6) (2x^2 + 4x) =

    Let's open the brackets carefully

    x^2 * 2x^2 + x^2*4x + x*2x^2 + x*4x - 6*2x^2 - 24x

    = 2x^4 + 4x^3 + 2x^3 + 4x^2 - 12x + 24x

    = 2x^4 + 6x^3 - 8x^2 + 24x

    = 2x (2x^3 + 3x^2 - 4x + 12)
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