Simplify (2n+2)(2n-2)

$(2 n + 2) (2 n - 2)$

Step 1

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

Apply the distributive property.

$2 n (2 n - 2) + 2 (2 n - 2)$

Apply the distributive property.

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

Apply the distributive property.

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

Step 2

Simplify terms.

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

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

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

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

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

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

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

Simplify each term.

Rewrite using the commutative property of multiplication.

$2 \cdot 2 n \cdot n + 2 \cdot - 2$

Multiply $n$ by $n$ by adding the exponents.

Move $n$ .

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

Multiply $n$ by $n$ .

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

Multiply $2$ by $2$ .

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

Multiply $2$ by $- 2$ .

$4 n^{2} - 4$