Divide the sum of

Question:

Divide:
ax2 − ay2 by ax + ay

Solution:

$\frac{a x^{2}-a y^{2}}{a x+a y}$

$=\frac{a\left(x^{2}-y^{2}\right)}{a(x+y)}$

$=\frac{a(x+y)(x-y)}{a(x+y)}$

$=x-y$

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