## Special products and factoring

Given that x+y+xy=1, where x and y are nonzero real numbers, find the value of xy+1/xy-y/x-x/y.

Thus,

xy+1/xy-y/x-x/y

= [xy+xy]*[1+1]/xy

=2xy*2/xy

4xy

/xy

=4.

Question:

How did it became [xy+xy]*[1+1]/xy?

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