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Simplify
Solution:
Consider the given equation above
The first thing that we have to do is to inspect all the terms at the numerator and denominator. Let's group the first two terms at the numerator and then the next two terms at the numerator also, as follows
The first group can be factored by the difference of two squares while the other group can be factored by removal of their common factor, as follows
The common factor at the numerator is (x + y). Remove their common factor, we have
The greatest common factor (GCF) of the numerator and denominator is (x - y + 2). Cross out their GCF and simplify into lowest term. Therefore, the final answer is
