(x^2 - y^2) / (x - y)
Apply the difference of squares formula:
(x + y)(x - y) / (x - y)
Assuming x is not equal to y, we can cancel terms leaving
x + y
When x = y, the denominator becomes 0, and the equation gives no information.
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-3
By factoring I get x-3 divided by x+3
x-8
xsquared minus x minus 72
(x + 2)(x - 9)