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well, x^2-y^2 = (x+y)(x-y)
so ...
so ...
(x+y)(x-y) / (x+y)
NOW do you see?
We have (x^2 - y^2) / (x + y).
We rewrite x^2 - y^2 as (x + y)(x - y):
= (x + y)(x - y) / (x + y).
Now, we can cancel out the common factor of (x + y):
= (x - y) / 1.
Therefore, the simplified expression is x - y.