Factor 2ab-ac+4bd-2cd

$2 a b - a c + 4 b d - 2 c d$

Step 1

Factor out the greatest common factor from each group.

Group the first two terms and the last two terms.

$(2 a b - a c) + 4 b d - 2 c d$

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

$a (2 b - 1 c) + 2 d (2 b - c)$

Step 2

Factor the polynomial by factoring out the greatest common factor, $2 b - 1 c$ .

$(2 b - 1 c) (a + 2 d)$

Step 3

Rewrite $- 1 c$ as $- c$ .

$(2 b - c) (a + 2 d)$