###### Example7.1.12

Factor $$24ab^2+16a^2b^3-12a^3b^2\text{.}$$

There are two variables in this polynomial, but that does not change the factoring strategy. The greatest numerical factor between the three terms is $$4\text{.}$$ The variable $$a$$ divides all three terms, and $$b^2$$ divides all three terms. So we have:

\begin{align*} 24ab^2+16a^2b^3-12a^3b^2 \amp=4ab^2\mathopen{}\left(6+4ab-3a^2\right)\mathclose{} \end{align*}
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