Beginning Algebra With Applications, Chapter 7, 7.3, Section 7.3, Problem 98

Multiply: $(2x - 9y)(8x - 3y)$

$
\begin{equation}
\begin{aligned}
&= 2x(8x) - 2x(3y) - 8x(9y) - 9y(-3y)
&& \text{Use foil method}\\
\\
&= 16x^2 - 6xy - 72xy + 27y^2
&& \text{Evaluate the expression}\\
\\
&= 16x^2 - 78xy + 27y^2
&& \text{Combine like terms}
\end{aligned}
\end{equation}
$