Factor 20(x+6)^2-4(x+6)

$20 {(x + 6)}^{2} - 4 (x + 6)$

Factor $4 (x + 6)$ out of $20 {(x + 6)}^{2} - 4 (x + 6)$ .

Factor $4 (x + 6)$ out of $20 {(x + 6)}^{2}$ .

$4 (x + 6) (5 (x + 6)) - 4 (x + 6)$

Factor $4 (x + 6)$ out of $- 4 (x + 6)$ .

$4 (x + 6) (5 (x + 6)) + 4 (x + 6) (- 1)$

Factor $4 (x + 6)$ out of $4 (x + 6) (5 (x + 6)) + 4 (x + 6) (- 1)$ .

$4 (x + 6) (5 (x + 6) - 1)$

Apply the distributive property.

$4 (x + 6) (5 x + 5 \cdot 6 - 1)$

Multiply $5$ by $6$ .

$4 (x + 6) (5 x + 30 - 1)$

Subtract $1$ from $30$ .

$4 (x + 6) (5 x + 29)$