Factor 3m-mk+3k-k^2

$3 m - m k + 3 k - k^{2}$

Step 1

Factor out the greatest common factor from each group.

Group the first two terms and the last two terms.

$(3 m - m k) + 3 k - k^{2}$

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

$m \cdot (3 - 1 k) + k \cdot (3 - k)$

Step 2

Factor the polynomial by factoring out the greatest common factor, $3 - 1 k$ .

$(3 - 1 k) (m + k)$

Step 3

Rewrite $- 1 k$ as $- k$ .

$(3 - k) (m + k)$