Factor 3(x-y)^2-2(x-y)

$3 {(x - y)}^{2} - 2 (x - y)$

Step 1

Factor $x - y$ out of $3 {(x - y)}^{2} - 2 (x - y)$ .

Factor $x - y$ out of $3 {(x - y)}^{2}$ .

$(x - y) (3 (x - y)) - 2 (x - y)$

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

$(x - y) (3 (x - y)) + (x - y) \cdot - 2$

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

$(x - y) (3 (x - y) - 2)$

Step 2

Apply the distributive property.

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

Step 3

Multiply $- 1$ by $3$ .

$(x - y) (3 x - 3 y - 2)$