Find the Product (8-3x)(8+3x)

$(8 - 3 x) (8 + 3 x)$

Expand $(8 - 3 x) (8 + 3 x)$ using the FOIL Method.

Apply the distributive property.

$8 (8 + 3 x) - 3 x (8 + 3 x)$

Apply the distributive property.

$8 \cdot 8 + 8 (3 x) - 3 x (8 + 3 x)$

Apply the distributive property.

$8 \cdot 8 + 8 (3 x) - 3 x \cdot 8 - 3 x (3 x)$

Simplify terms.

Combine the opposite terms in $8 \cdot 8 + 8 (3 x) - 3 x \cdot 8 - 3 x (3 x)$ .

Reorder the factors in the terms $8 (3 x)$ and $- 3 x \cdot 8$ .

$8 \cdot 8 + 3 \cdot 8 x - 3 \cdot 8 x - 3 x (3 x)$

Subtract $3 \cdot 8 x$ from $3 \cdot 8 x$ .

$8 \cdot 8 + 0 - 3 x (3 x)$

Add $8 \cdot 8$ and $0$ .

$8 \cdot 8 - 3 x (3 x)$

Simplify each term.

Multiply $8$ by $8$ .

$64 - 3 x (3 x)$

Rewrite using the commutative property of multiplication.

$64 - 3 \cdot 3 x \cdot x$

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

Move $x$ .

$64 - 3 \cdot 3 (x \cdot x)$

Multiply $x$ by $x$ .

$64 - 3 \cdot 3 x^{2}$

Multiply $- 3$ by $3$ .

$64 - 9 x^{2}$