$\begin{array}{l}
15x\left( {x - 3y} \right) + 20y\left( {3y - x} \right)\\
= 15x\left( {x - 3y} \right) - 20y\left( {x - 3y} \right)\\
= \left( {x - 3y} \right)\left( {15x - 20} \right)\\
= 5\left( {x - 3y} \right)\left( {3x - 4} \right).
\end{array}$