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

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

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

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

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

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

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

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

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

Subtract $3 x$ from $x$ .

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

Factor.

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

Factor $2$ out of $- 2 x$ .

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

Factor $2$ out of $- 2 y$ .

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

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

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

Remove unnecessary parentheses.

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

Factor.

Factor $- 1$ out of $- x - y$ .

Factor $- 1$ out of $- x$ .

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

Factor $- 1$ out of $- y$ .

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

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

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

Remove unnecessary parentheses.

$(x - 2 y) \cdot 2 \cdot - 1 (x + y)$

Combine exponents.

Factor out negative.

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

Multiply $2$ by $- 1$ .

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

Remove unnecessary parentheses.

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