Factor 3(8x+3)^2(7x-6)-(8x+3)(7x-6)^2

$3 {(8 x + 3)}^{2} (7 x - 6) - (8 x + 3) {(7 x - 6)}^{2}$

Step 1

Factor $(8 x + 3) (7 x - 6)$ out of $3 {(8 x + 3)}^{2} (7 x - 6) - (8 x + 3) {(7 x - 6)}^{2}$ .

Factor $(8 x + 3) (7 x - 6)$ out of $3 {(8 x + 3)}^{2} (7 x - 6)$ .

$(8 x + 3) (7 x - 6) (3 (8 x + 3)) - (8 x + 3) {(7 x - 6)}^{2}$

Factor $(8 x + 3) (7 x - 6)$ out of $- (8 x + 3) {(7 x - 6)}^{2}$ .

$(8 x + 3) (7 x - 6) (3 (8 x + 3)) + (8 x + 3) (7 x - 6) (- 1 (7 x - 6))$

Factor $(8 x + 3) (7 x - 6)$ out of $(8 x + 3) (7 x - 6) (3 (8 x + 3)) + (8 x + 3) (7 x - 6) (- 1 (7 x - 6))$ .

$(8 x + 3) (7 x - 6) (3 (8 x + 3) - 1 (7 x - 6))$

Step 2

Apply the distributive property.

$(8 x + 3) (7 x - 6) (3 (8 x) + 3 \cdot 3 - 1 (7 x - 6))$

Step 3

Multiply $8$ by $3$ .

$(8 x + 3) (7 x - 6) (24 x + 3 \cdot 3 - 1 (7 x - 6))$

Step 4

Multiply $3$ by $3$ .

$(8 x + 3) (7 x - 6) (24 x + 9 - 1 (7 x - 6))$

Step 5

Apply the distributive property.

$(8 x + 3) (7 x - 6) (24 x + 9 - 1 (7 x) - 1 \cdot - 6)$

Step 6

Multiply $7$ by $- 1$ .

$(8 x + 3) (7 x - 6) (24 x + 9 - 7 x - 1 \cdot - 6)$

Step 7

Multiply $- 1$ by $- 6$ .

$(8 x + 3) (7 x - 6) (24 x + 9 - 7 x + 6)$

Step 8

Subtract $7 x$ from $24 x$ .

$(8 x + 3) (7 x - 6) (17 x + 9 + 6)$

Step 9

Add $9$ and $6$ .

$(8 x + 3) (7 x - 6) (17 x + 15)$