Factor by Grouping 2x^2-4xy-9x+18y

$2 x^{2} - 4 x y - 9 x + 18 y$

Step 1

Factor out the greatest common factor from each group.

Group the first two terms and the last two terms.

$(2 x^{2} - 4 x y) - 9 x + 18 y$

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

$2 x (x - 2 y) - 9 (x - 2 y)$

Step 2

Factor the polynomial by factoring out the greatest common factor, $x - 2 y$ .

$(x - 2 y) (2 x - 9)$