Factor ac-5ad-5bc+25bd

$a c - 5 a d - 5 b c + 25 b d$

Step 1

Factor out the greatest common factor from each group.

Group the first two terms and the last two terms.

$(a c - 5 a d) - 5 b c + 25 b d$

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

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

Step 2

Factor the polynomial by factoring out the greatest common factor, $c - 5 d$ .

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