Multiply Polynomials: example 6.44

It does not matter which binomial goes on the top.

$\begin{array}{ccccccc}\begin{array}{c}\text{Multiply}3y-1\text{by}\mathrm{-6}.\hfill \\ \text{Multiply}3y-1\text{by 2y.}\hfill \\ \\ \\ \\ \\ \\ \\ \text{Add like terms.}\hfill \end{array}\hfill & & & \hfill \begin{array}{}\\ \hfill 3y-1\\ \hfill \underset{\_\_\_\_\_\_\_\_}{\times 2y-6}\\ \hfill \mathrm{-18}y+6\\ \underset{\hspace{1em}\_\_\_\_\_\_\_\_\_\_\_\_\_}{6y^2-2y}\hfill \\ \hfill 6y^2-20y+6\end{array}& & & \begin{array}{}\\ \\ \\ \\ \\ \\ \text{partial product}\hfill \\ \text{partial product}\hfill \\ \text{product}\hfill \end{array}\hfill \end{array}$

Notice the partial products are the same as the terms in the FOIL method.