Factor by Grouping 2x-5xy+30y-12

$2 x - 5 x y + 30 y - 12$

Step 1

Reorder terms.

$- 5 x y + 2 x + 30 y - 12$

Step 2

Factor out the greatest common factor from each group.

Group the first two terms and the last two terms.

$(- 5 x y + 2 x) + 30 y - 12$

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

$x (- 5 y + 2) - 6 (- 5 y + 2)$

Step 3

Factor the polynomial by factoring out the greatest common factor, $- 5 y + 2$ .

$(- 5 y + 2) (x - 6)$