Factor by Grouping 4m-15p-5mp+12

$4 m - 15 p - 5 m p + 12$

Step 1

Reorder terms.

$- 5 m p + 4 m - 15 p + 12$

Step 2

Factor out the greatest common factor from each group.

Group the first two terms and the last two terms.

$(- 5 m p + 4 m) - 15 p + 12$

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

$m (- 5 p + 4) + 3 (- 5 p + 4)$

Step 3

Factor the polynomial by factoring out the greatest common factor, $- 5 p + 4$ .

$(- 5 p + 4) (m + 3)$