Problem:
Multiply and expand $p(x) = \frac{52 x^2}{5}-\frac{63 x}{5}-\frac{44}{5}$ and $q(x) = \frac{51}{5}-\frac{12 x}{5}$
Answer:
\begin{array}{l}
 
\begin{array}{l}
 \text{Expand the following}: \\
 \left(\frac{52 x^2}{5}-\frac{63 x}{5}-\frac{44}{5}\right) \left(\frac{51}{5}-\frac{12 x}{5}\right) \\
\end{array}
 \\
\hline
 
\begin{array}{l}
 
\begin{array}{c}
 
\begin{array}{rrrrrrr}
 \text{x}^2 & \text{x}^2 & \frac{52 x^2}{5} & - & \frac{63 x}{5} & - & \frac{44}{5} \\
 \text{x}^2 & \text{x}^2 & \text{x}^2 & \text{x}^2 & -\frac{12 x}{5} & + & \frac{51}{5} \\
\hline
 \text{x}^2 & \text{x}^2 & \frac{2652 x^2}{25} & - & \frac{3213 x}{25} & - & \frac{2244}{25} \\
 -\frac{624 x^3}{25} & + & \frac{756 x^2}{25} & + & \frac{528 x}{25} & + & 0 \\
 -\frac{624 x^3}{25} & + & \frac{3408 x^2}{25} & - & \frac{537 x}{5} & - & \frac{2244}{25} \\
\end{array}
 \\
\end{array}
: \\
 \fbox{$
\begin{array}{ll}
 \text{Answer:} &  \\
 \text{} & -\frac{624 x^3}{25}+\frac{3408 x^2}{25}-\frac{537 x}{5}-\frac{2244}{25} \\
\end{array}
$} \\
\end{array}
 \\
\end{array}
{'source': 'AMPS', 'file': 'amps/mathematica/algebra/multiply_polynomials_w_steps/2060.txt'}