Question

factor out the greatest common factor. if the greatest common factor is 1, just retype the polynomial.
$4m^3 - 8m^2$

Explanation:

Step1: Find GCF of coefficients and variables

For coefficients 4 and 8, GCF is 4. For variables \(m^3\) and \(m^2\), GCF is \(m^2\). So overall GCF is \(4m^2\).

Step2: Factor out GCF

Divide each term by \(4m^2\): \(\frac{4m^3}{4m^2}=m\), \(\frac{-8m^2}{4m^2}=-2\). So \(4m^3 - 8m^2 = 4m^2(m - 2)\).

Answer:

\(4m^2(m - 2)\)