Find the Product (2x-1)(2x+1)

$(2 x - 1) (2 x + 1)$

Expand $(2 x - 1) (2 x + 1)$ using the FOIL Method.

Apply the distributive property.

$2 x (2 x + 1) - 1 (2 x + 1)$

Apply the distributive property.

$2 x (2 x) + 2 x \cdot 1 - 1 (2 x + 1)$

Apply the distributive property.

$2 x (2 x) + 2 x \cdot 1 - 1 (2 x) - 1 \cdot 1$

Simplify terms.

Combine the opposite terms in $2 x (2 x) + 2 x \cdot 1 - 1 (2 x) - 1 \cdot 1$ .

Reorder the factors in the terms $2 x \cdot 1$ and $- 1 (2 x)$ .

$2 x (2 x) + 1 \cdot 2 x - 1 \cdot 2 x - 1 \cdot 1$

Subtract $2 x$ from $1 \cdot 2 x$ .

$2 x (2 x) + 0 - 1 \cdot 1$

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

$2 x (2 x) - 1 \cdot 1$

Simplify each term.

Rewrite using the commutative property of multiplication.

$2 \cdot 2 x \cdot x - 1 \cdot 1$

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

Move $x$ .

$2 \cdot 2 (x \cdot x) - 1 \cdot 1$

Multiply $x$ by $x$ .

$2 \cdot 2 x^{2} - 1 \cdot 1$

Multiply $2$ by $2$ .

$4 x^{2} - 1 \cdot 1$

Multiply $- 1$ by $1$ .

$4 x^{2} - 1$