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.

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)