Factor mn-15+3m-5n

$m n - 15 + 3 m - 5 n$

Step 1

Reorder terms.

$m n + 3 m - 5 n - 15$

Step 2

Factor out the greatest common factor from each group.

Group the first two terms and the last two terms.

$(m n + 3 m) - 5 n - 15$

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

$m (n + 3) - 5 (n + 3)$

Step 3

Factor the polynomial by factoring out the greatest common factor, $n + 3$ .

$(n + 3) (m - 5)$