Find the Product (8-4x)(2x+6)

$(8 - 4 x) (2 x + 6)$

Expand $(8 - 4 x) (2 x + 6)$ using the FOIL Method.

Apply the distributive property.

$8 (2 x + 6) - 4 x (2 x + 6)$

Apply the distributive property.

$8 (2 x) + 8 \cdot 6 - 4 x (2 x + 6)$

Apply the distributive property.

$8 (2 x) + 8 \cdot 6 - 4 x (2 x) - 4 x \cdot 6$

Simplify and combine like terms.

Simplify each term.

Multiply $2$ by $8$ .

$16 x + 8 \cdot 6 - 4 x (2 x) - 4 x \cdot 6$

Multiply $8$ by $6$ .

$16 x + 48 - 4 x (2 x) - 4 x \cdot 6$

Rewrite using the commutative property of multiplication.

$16 x + 48 - 4 \cdot 2 x \cdot x - 4 x \cdot 6$

Multiply $x$ by $x$ by adding the exponents.

Move $x$ .

$16 x + 48 - 4 \cdot 2 (x \cdot x) - 4 x \cdot 6$

Multiply $x$ by $x$ .

$16 x + 48 - 4 \cdot 2 x^{2} - 4 x \cdot 6$

Multiply $- 4$ by $2$ .

$16 x + 48 - 8 x^{2} - 4 x \cdot 6$

Multiply $6$ by $- 4$ .

$16 x + 48 - 8 x^{2} - 24 x$

Subtract $24 x$ from $16 x$ .

$- 8 x + 48 - 8 x^{2}$