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

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

Step 1

Factor out the greatest common factor from each group.

Group the first two terms and the last two terms.

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

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

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

Step 2

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

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