Question

An expression is shown below:

4m3 + 12xm2 − 8m2 − 24xm

Rewrite the expression by factoring out the greatest common factor. (5 points)

Answer 1

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

Explanation:

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

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

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

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

Answer 2

Explanation:

4m³ + 12xm² - 8m² - 24xm = (4m³ - 8m²) + (12xm² - 24xm) {Group terms}

=4m²(m - 2) + 12xm(m - 2) {Factor terms}

= (m - 2)(4m² + 12xm)

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