Factor x^2+xy-2x-2y

$x^{2} + x y - 2 x - 2 y$

Step 1

Factor out the greatest common factor from each group.

Group the first two terms and the last two terms.

$(x^{2} + x y) - 2 x - 2 y$

Factor out the greatest common factor (GCF) from each group.

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

Step 2

Factor the polynomial by factoring out the greatest common factor, $x + y$ .

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