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

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

Step 1

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

Apply the distributive property.

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

Apply the distributive property.

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

Apply the distributive property.

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

Step 2

Simplify and combine like terms.

Simplify each term.

Rewrite using the commutative property of multiplication.

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

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

Move $x$ .

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

Multiply $x$ by $x$ .

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

Multiply $2$ by $2$ .

$4 x^{2} + 2 x \cdot - 8 + 8 (2 x) + 8 \cdot - 8$

Multiply $- 8$ by $2$ .

$4 x^{2} - 16 x + 8 (2 x) + 8 \cdot - 8$

Multiply $2$ by $8$ .

$4 x^{2} - 16 x + 16 x + 8 \cdot - 8$

Multiply $8$ by $- 8$ .

$4 x^{2} - 16 x + 16 x - 64$

Add $- 16 x$ and $16 x$ .

$4 x^{2} + 0 - 64$

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

$4 x^{2} - 64$