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)

part a:  

4m (m^2 + 3xm - 2m - 6x)

part b:

4m^3 + 12xm^2 − 8m^2 − 24xm

4m(

(4m^3 + 12xm^2) - (8m^2 + 24xm)

4m^2 (m + 3x) - 8m(m + 3x)

(m + 3x) (4m^2 - 8m)

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