Factor 3x(x-1)-2y(x-1)+z(x-1)

$3 x (x - 1) - 2 y (x - 1) + z (x - 1)$

Factor $x - 1$ out of $3 x (x - 1)$ .

$(x - 1) (3 x) - 2 y (x - 1) + z (x - 1)$

Factor $x - 1$ out of $- 2 y (x - 1)$ .

$(x - 1) (3 x) + (x - 1) (- 2 y) + z (x - 1)$

Factor $x - 1$ out of $z (x - 1)$ .

$(x - 1) (3 x) + (x - 1) (- 2 y) + (x - 1) z$

Factor $x - 1$ out of $(x - 1) (3 x) + (x - 1) (- 2 y)$ .

$(x - 1) (3 x - 2 y) + (x - 1) z$

Factor $x - 1$ out of $(x - 1) (3 x - 2 y) + (x - 1) z$ .

$(x - 1) (3 x - 2 y + z)$