# What is the factors for 14x^2 y+ 4xy^2 +2xy?

May 14, 2015

You must check what elements you have in common for all these three factors. Let's just expand them a little:

$7 \cdot \textcolor{g r e e n}{2} \cdot \textcolor{b l u e}{x} \cdot x \cdot \textcolor{red}{y} + \textcolor{g r e e n}{2} \cdot 2 \cdot \textcolor{b l u e}{x} \cdot \textcolor{red}{y} \cdot y + \textcolor{g r e e n}{2} \cdot \textcolor{b l u e}{x} \cdot \textcolor{red}{y}$

Now, we can see that these elements ($2 x y$) are multiplying all the three factors, as follows:

$\textcolor{g r e e n}{2} \textcolor{b l u e}{x} \textcolor{red}{y} \left(7 x + 2 y + 1\right)$