Factor mn-mk+xk-xn

$m n - m k + x k - x n$

Regroup terms.

$- m k + m n + x k - x n$

Factor out the greatest common factor from each group.

Group the first two terms and the last two terms.

$(- m k + m n) + x k - x n$

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

$m (- 1 k + n) - x (- 1 k + n)$

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

$(- 1 k + n) (m - x)$

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

$(- k + n) (m - x)$

Factor $- 1$ out of $- k + n$ .

Factor $- 1$ out of $- k$ .

$(- (k) + n) (m - x)$

Factor $- 1$ out of $n$ .

$(- (k) - 1 (- n)) (m - x)$

Factor $- 1$ out of $- (k) - 1 (- n)$ .

$- (k - n) (m - x)$