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

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

Step 1

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

Apply the distributive property.

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

Apply the distributive property.

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

Apply the distributive property.

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

Step 2

Simplify terms.

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

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

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

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

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

Add $2 x (2 x)$ and $0$ .

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

Simplify each term.

Rewrite using the commutative property of multiplication.

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

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

Move $x$ .

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

Multiply $x$ by $x$ .

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

Multiply $2$ by $2$ .

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

Multiply $2$ by $- 2$ .

$4 x^{2} - 4$