Find the Product (4x-3)(4x+3)

$(4 x - 3) (4 x + 3)$

Expand $(4 x - 3) (4 x + 3)$ using the FOIL Method.

Apply the distributive property.

$4 x (4 x + 3) - 3 (4 x + 3)$

Apply the distributive property.

$4 x (4 x) + 4 x \cdot 3 - 3 (4 x + 3)$

Apply the distributive property.

$4 x (4 x) + 4 x \cdot 3 - 3 (4 x) - 3 \cdot 3$

Simplify terms.

Combine the opposite terms in $4 x (4 x) + 4 x \cdot 3 - 3 (4 x) - 3 \cdot 3$ .

Reorder the factors in the terms $4 x \cdot 3$ and $- 3 (4 x)$ .

$4 x (4 x) + 3 \cdot 4 x - 3 \cdot 4 x - 3 \cdot 3$

Subtract $3 \cdot 4 x$ from $3 \cdot 4 x$ .

$4 x (4 x) + 0 - 3 \cdot 3$

Add $4 x (4 x)$ and $0$ .

$4 x (4 x) - 3 \cdot 3$

Simplify each term.

Rewrite using the commutative property of multiplication.

$4 \cdot 4 x \cdot x - 3 \cdot 3$

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

Move $x$ .

$4 \cdot 4 (x \cdot x) - 3 \cdot 3$

Multiply $x$ by $x$ .

$4 \cdot 4 x^{2} - 3 \cdot 3$

Multiply $4$ by $4$ .

$16 x^{2} - 3 \cdot 3$

Multiply $- 3$ by $3$ .

$16 x^{2} - 9$