Factor 5ac-2bd+bc-10ad

$5 a c - 2 b d + b c - 10 a d$

Step 1

Regroup terms.

$b c + 5 a c - 2 b d - 10 a d$

Step 2

Factor out the greatest common factor from each group.

Group the first two terms and the last two terms.

$(b c + 5 a c) - 2 b d - 10 a d$

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

$c (b + 5 a) - 2 d (b + 5 a)$

Step 3

Factor the polynomial by factoring out the greatest common factor, $b + 5 a$ .

$(b + 5 a) (c - 2 d)$