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factor out the greatest common factor. if the greatest common factor is…

Question

factor out the greatest common factor. if the greatest common factor is 1, just retype the polynomial. \\(6m^3 - 18m^2\\)

Explanation:

Step1: Find GCF of coefficients and variables

For coefficients 6 and 18, GCF is 6. For variables \(m^3\) and \(m^2\), GCF is \(m^2\). So overall GCF is \(6m^2\).

Step2: Factor out GCF

Divide each term by \(6m^2\): \(\frac{6m^3}{6m^2}=m\), \(\frac{-18m^2}{6m^2}=-3\). So \(6m^3 - 18m^2=6m^2(m - 3)\).

Answer:

\(6m^2(m - 3)\)