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20 October, 04:38

An expression is shown below: 4m3 + 12xm2 - 8m2 - 24xm Part A: Rewrite the expression so the GCF is factored completely. Part B: Rewrite the expression completely factored. Show the steps of your work.

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Answers (1)
  1. 20 October, 05:08
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    The given expression is

    4m³ + 12xm² - 8m² - 24xm

    Part A

    Rewrite the expression and factor it into groups to obtain

    4m³ - 8m² + 12xm² - 24xm

    = 4m² (m - 2) + 12xm (m - 2)

    = (4m² + 12xm) (m - 2)

    Answer: (4m² + 12xm) (m - 2)

    Part B

    Because 4m² + 12xm = 4m (m + 3x), the completely factored xpression is

    4m (m + 3x) (m - 2)

    Answer: 4m (m + 3x) (m - 2)
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Home » Mathematics » An expression is shown below: 4m3 + 12xm2 - 8m2 - 24xm Part A: Rewrite the expression so the GCF is factored completely. Part B: Rewrite the expression completely factored. Show the steps of your work.
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