Factor 4(2x-1)^2(3x-2)+(2x-1)(3x-2)^2

$4 {(2 x - 1)}^{2} (3 x - 2) + (2 x - 1) {(3 x - 2)}^{2}$

Factor $(2 x - 1) (3 x - 2)$ out of $4 {(2 x - 1)}^{2} (3 x - 2) + (2 x - 1) {(3 x - 2)}^{2}$ .

Factor $(2 x - 1) (3 x - 2)$ out of $4 {(2 x - 1)}^{2} (3 x - 2)$ .

$(2 x - 1) (3 x - 2) (4 (2 x - 1)) + (2 x - 1) {(3 x - 2)}^{2}$

Factor $(2 x - 1) (3 x - 2)$ out of $(2 x - 1) {(3 x - 2)}^{2}$ .

$(2 x - 1) (3 x - 2) (4 (2 x - 1)) + (2 x - 1) (3 x - 2) (3 x - 2)$

Factor $(2 x - 1) (3 x - 2)$ out of $(2 x - 1) (3 x - 2) (4 (2 x - 1)) + (2 x - 1) (3 x - 2) (3 x - 2)$ .

$(2 x - 1) (3 x - 2) (4 (2 x - 1) + 3 x - 2)$

Apply the distributive property.

$(2 x - 1) (3 x - 2) (4 (2 x) + 4 \cdot - 1 + 3 x - 2)$

Multiply $2$ by $4$ .

$(2 x - 1) (3 x - 2) (8 x + 4 \cdot - 1 + 3 x - 2)$

Multiply $4$ by $- 1$ .

$(2 x - 1) (3 x - 2) (8 x - 4 + 3 x - 2)$

Add $8 x$ and $3 x$ .

$(2 x - 1) (3 x - 2) (11 x - 4 - 2)$

Subtract $2$ from $- 4$ .

$(2 x - 1) (3 x - 2) (11 x - 6)$