Factor 2(x-3y)^2+4x(x-3y)

$2 {(x - 3 y)}^{2} + 4 x (x - 3 y)$

Factor $2 (x - 3 y)$ out of $2 {(x - 3 y)}^{2} + 4 x (x - 3 y)$ .

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

$2 (x - 3 y) (x - 3 y) + 4 x (x - 3 y)$

Factor $2 (x - 3 y)$ out of $4 x (x - 3 y)$ .

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

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

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

Add $x$ and $2 x$ .

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

Factor.

Factor $3$ out of $3 x - 3 y$ .

Factor $3$ out of $3 x$ .

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

Factor $3$ out of $- 3 y$ .

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

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

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

Remove unnecessary parentheses.

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

Multiply $3$ by $2$ .

$6 (x - 3 y) (x - y)$