Simplify (8x-2)(6x+2)

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

Step 1

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

Apply the distributive property.

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

Apply the distributive property.

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

Apply the distributive property.

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

Step 2

Simplify and combine like terms.

Simplify each term.

Rewrite using the commutative property of multiplication.

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

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

Move $x$ .

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

Multiply $x$ by $x$ .

$8 \cdot 6 x^{2} + 8 x \cdot 2 - 2 (6 x) - 2 \cdot 2$

Multiply $8$ by $6$ .

$48 x^{2} + 8 x \cdot 2 - 2 (6 x) - 2 \cdot 2$

Multiply $2$ by $8$ .

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

Multiply $6$ by $- 2$ .

$48 x^{2} + 16 x - 12 x - 2 \cdot 2$

Multiply $- 2$ by $2$ .

$48 x^{2} + 16 x - 12 x - 4$

Subtract $12 x$ from $16 x$ .

$48 x^{2} + 4 x - 4$