Factor 9mz-4nc+3mc-12nz

$9 m z - 4 n c + 3 m c - 12 n z$

Step 1

Regroup terms.

$3 m c + 9 m z - 4 n c - 12 n z$

Step 2

Factor out the greatest common factor from each group.

Group the first two terms and the last two terms.

$(3 m c + 9 m z) - 4 n c - 12 n z$

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

$3 m (c + 3 z) - 4 n (c + 3 z)$

Step 3

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

$(c + 3 z) (3 m - 4 n)$