Problem:
Simplify: $ \frac{x^2 + 2xy + y^2}{x+y} \cdot \frac{x - y}{4} $
Solution:
$
\begin{eqnarray*}
& & \frac{x^2 + 2xy + y^2}{x+y} \cdot \frac{x - y}{4} \\
&=& \frac{(x+y)^2}{x+y} \cdot \frac{x - y}{4} \\
&=& (x+y) \cdot \frac{x - y}{4} \\
&=& \frac{(x+y)(x-y)}{4}
\end{eqnarray*}
$
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