Question

factor $6m^2 + 9m^3$.

Explanation:

Step1: Find the GCF of coefficients and variables

The GCF of 6 and 9 is 3, and the GCF of \(m^2\) and \(m^3\) is \(m^2\). So the GCF of the two terms is \(3m^2\).

Step2: Factor out the GCF

Divide each term by \(3m^2\): \(\frac{6m^2}{3m^2}=2\) and \(\frac{9m^3}{3m^2}=3m\). Then we get \(3m^2(2 + 3m)\).

Answer:

\(3m^2(2 + 3m)\)