Factor 4(x-5)^2+3(x-5)

$4 {(x - 5)}^{2} + 3 (x - 5)$

Factor $x - 5$ out of $4 {(x - 5)}^{2} + 3 (x - 5)$ .

Factor $x - 5$ out of $4 {(x - 5)}^{2}$ .

$(x - 5) (4 (x - 5)) + 3 (x - 5)$

Factor $x - 5$ out of $3 (x - 5)$ .

$(x - 5) (4 (x - 5)) + (x - 5) \cdot 3$

Factor $x - 5$ out of $(x - 5) (4 (x - 5)) + (x - 5) \cdot 3$ .

$(x - 5) (4 (x - 5) + 3)$

Apply the distributive property.

$(x - 5) (4 x + 4 \cdot - 5 + 3)$

Multiply $4$ by $- 5$ .

$(x - 5) (4 x - 20 + 3)$

Add $- 20$ and $3$ .

$(x - 5) (4 x - 17)$