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

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

Step 1

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

Apply the distributive property.

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

Apply the distributive property.

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

Apply the distributive property.

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

Step 2

Simplify and combine like terms.

Simplify each term.

Rewrite using the commutative property of multiplication.

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

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

Move $x$ .

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

Multiply $x$ by $x$ .

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

Multiply $2$ by $2$ .

$4 x^{2} + 2 x \cdot - 6 + 6 (2 x) + 6 \cdot - 6$

Multiply $- 6$ by $2$ .

$4 x^{2} - 12 x + 6 (2 x) + 6 \cdot - 6$

Multiply $2$ by $6$ .

$4 x^{2} - 12 x + 12 x + 6 \cdot - 6$

Multiply $6$ by $- 6$ .

$4 x^{2} - 12 x + 12 x - 36$

Add $- 12 x$ and $12 x$ .

$4 x^{2} + 0 - 36$

Add $4 x^{2}$ and $0$ .

$4 x^{2} - 36$