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

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

Step 1

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

Apply the distributive property.

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

Apply the distributive property.

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

Apply the distributive property.

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

Step 2

Simplify terms.

Combine the opposite terms in $6 x (6 x) + 6 x \cdot - 2 + 2 (6 x) + 2 \cdot - 2$ .

Reorder the factors in the terms $6 x \cdot - 2$ and $2 (6 x)$ .

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

Add $- 2 \cdot 6 x$ and $2 \cdot 6 x$ .

$6 x (6 x) + 0 + 2 \cdot - 2$

Add $6 x (6 x)$ and $0$ .

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

Simplify each term.

Rewrite using the commutative property of multiplication.

$6 \cdot 6 x \cdot x + 2 \cdot - 2$

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

Move $x$ .

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

Multiply $x$ by $x$ .

$6 \cdot 6 x^{2} + 2 \cdot - 2$

Multiply $6$ by $6$ .

$36 x^{2} + 2 \cdot - 2$

Multiply $2$ by $- 2$ .

$36 x^{2} - 4$