Factor 3(7x+2)^2-5(7x+2)(3x-8)

$3 {(7 x + 2)}^{2} - 5 (7 x + 2) (3 x - 8)$

Factor $7 x + 2$ out of $3 {(7 x + 2)}^{2} - 5 (7 x + 2) (3 x - 8)$ .

Factor $7 x + 2$ out of $3 {(7 x + 2)}^{2}$ .

$(7 x + 2) (3 (7 x + 2)) - 5 (7 x + 2) (3 x - 8)$

Factor $7 x + 2$ out of $- 5 (7 x + 2) (3 x - 8)$ .

$(7 x + 2) (3 (7 x + 2)) + (7 x + 2) (- 5 (3 x - 8))$

Factor $7 x + 2$ out of $(7 x + 2) (3 (7 x + 2)) + (7 x + 2) (- 5 (3 x - 8))$ .

$(7 x + 2) (3 (7 x + 2) - 5 (3 x - 8))$

Apply the distributive property.

$(7 x + 2) (3 (7 x) + 3 \cdot 2 - 5 (3 x - 8))$

Multiply $7$ by $3$ .

$(7 x + 2) (21 x + 3 \cdot 2 - 5 (3 x - 8))$

Multiply $3$ by $2$ .

$(7 x + 2) (21 x + 6 - 5 (3 x - 8))$

Apply the distributive property.

$(7 x + 2) (21 x + 6 - 5 (3 x) - 5 \cdot - 8)$

Multiply $3$ by $- 5$ .

$(7 x + 2) (21 x + 6 - 15 x - 5 \cdot - 8)$

Multiply $- 5$ by $- 8$ .

$(7 x + 2) (21 x + 6 - 15 x + 40)$

Subtract $15 x$ from $21 x$ .

$(7 x + 2) (6 x + 6 + 40)$

Add $6$ and $40$ .

$(7 x + 2) (6 x + 46)$

Factor.

Factor $2$ out of $6 x + 46$ .

Factor $2$ out of $6 x$ .

$(7 x + 2) (2 (3 x) + 46)$

Factor $2$ out of $46$ .

$(7 x + 2) (2 (3 x) + 2 (23))$

Factor $2$ out of $2 (3 x) + 2 (23)$ .

$(7 x + 2) (2 (3 x + 23))$

Remove unnecessary parentheses.

$(7 x + 2) \cdot 2 (3 x + 23)$