Question
Divide $a x^2-a y^2 b y(a x+a y)$

Answer

$\frac{\text{ax}^2-\text{ay}^2}{\text{ax}+\text{ay}}$
$=\frac{\text{a}(\text{x}^2-\text{y}^2)}{\text{ax}+\text{ay}}$
$=\frac{\text{a}(\text{x}+\text{y})(\text{x}-\text{y})}{\text{a}(\text{x}+\text{y} )}=\text{x}-\text{y}$

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