Factor 2x^2-6x-xy+3y

$2 x^{2} - 6 x - x y + 3 y$

Step 1

Factor out the greatest common factor from each group.

Group the first two terms and the last two terms.

$(2 x^{2} - 6 x) - x y + 3 y$

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

$2 x (x - 3) - y (x - 3)$

Step 2

Factor the polynomial by factoring out the greatest common factor, $x - 3$ .

$(x - 3) (2 x - y)$