Problem:
Multiply and expand $p(x) = 5 \sqrt{5}$ and $q(x) = 5 \sqrt{5} x+6 \sqrt{5}$
Answer:
\begin{array}{l}
 
\begin{array}{l}
 \text{Expand the following}: \\
 5 \sqrt{5} \left(5 \sqrt{5} x+6 \sqrt{5}\right) \\
\end{array}
 \\
\hline
 
\begin{array}{l}
 5 \sqrt{5} \left(5 \sqrt{5} x+6 \sqrt{5}\right)=5 \sqrt{5} \left(5 \sqrt{5} x\right)+5 \sqrt{5} \left(6 \sqrt{5}\right): \\
 \fbox{$5 \sqrt{5} 5 \sqrt{5} x+5 \sqrt{5} 6 \sqrt{5}$} \\
\end{array}
 \\
 
\begin{array}{l}
 5 \sqrt{5}\times 6 \sqrt{5}=5^{1+1/2+1/2}\times 6: \\
 5 \sqrt{5} 5 \sqrt{5} x+\fbox{$150$} \\
\end{array}
 \\
 
\begin{array}{l}
 1+\frac{1}{2}+\frac{1}{2}=2: \\
 5 \sqrt{5} 5 \sqrt{5} x+5^{\fbox{$2$}} 6 \\
\end{array}
 \\
 
\begin{array}{l}
 5^2=25: \\
 5 \sqrt{5} 5 \sqrt{5} x+\fbox{$25$} 6 \\
\end{array}
 \\
 
\begin{array}{l}
 25\times 6 \text{= }150: \\
 5 \sqrt{5} 5 \sqrt{5} x+\fbox{$150$} \\
\end{array}
 \\
 
\begin{array}{l}
 5 \sqrt{5}\times 5 \sqrt{5} x=5^{1+1/2+1+1/2} x: \\
 \fbox{$125 x$}+150 \\
\end{array}
 \\
 
\begin{array}{l}
 1+\frac{1}{2}+1+\frac{1}{2}=3: \\
 5^{\fbox{$3$}} x+150 \\
\end{array}
 \\
 
\begin{array}{l}
 5^3=5\times 5^2: \\
 \fbox{$125$} x+150 \\
\end{array}
 \\
 
\begin{array}{l}
 5^2=25: \\
 \fbox{$25$} 5 x+150 \\
\end{array}
 \\
 
\begin{array}{l}
 5\times 25 \text{= }125: \\
 \fbox{$
\begin{array}{ll}
 \text{Answer:} &  \\
 \text{} & \fbox{$125$} x+150 \\
\end{array}
$} \\
\end{array}
 \\
\end{array}
{'source': 'AMPS', 'file': 'amps/mathematica/algebra/multiply_polynomials_w_steps/765.txt'}