How do you factor the polynomials $xy-2x-2+y$ ?

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Answer 1 · 2016-11-26T01:28:22

$xy-2x-2+y = (x+1)(y-2)$

This factors by grouping:

$xy-2x-2+y = (xy-2x)+(y-2)$

$color(white)(xy-2x-2+y) = x(y-2)+1(y-2)$

$color(white)(xy-2x-2+y) = (x+1)(y-2)$

How do you factor the polynomials xy-2x-2+yxy-2x-2+y?