Factor m^3-m^2n+m-n

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

Step 1

Factor out the greatest common factor from each group.

Group the first two terms and the last two terms.

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

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

$m^{2} (m - 1 n) + 1 (m - n)$

Step 2

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

$(m - 1 n) (m^{2} + 1)$

Step 3

Rewrite $- 1 n$ as $- n$ .

$(m - n) (m^{2} + 1)$