Factor by Grouping 9x^2-3xy+6x-2y

$9 x^{2} - 3 x y + 6 x - 2 y$

Factor out the greatest common factor from each group.

Group the first two terms and the last two terms.

$(9 x^{2} - 3 x y) + 6 x - 2 y$

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

$3 x (3 x - 1 y) + 2 (3 x - y)$

Factor the polynomial by factoring out the greatest common factor, $3 x - 1 y$ .

$(3 x - 1 y) (3 x + 2)$

Rewrite $- 1 y$ as $- y$ .

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