Factor by Grouping ac-ad+bc-bd

$a c - a d + b c - b d$

Step 1

Factor out the greatest common factor from each group.

Group the first two terms and the last two terms.

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

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

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

Step 2

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

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

Step 3

Rewrite $- 1 d$ as $- d$ .

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