Expand the Trigonometric Expression (x+8)(x-8)

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

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

Apply the distributive property.

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

Apply the distributive property.

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

Apply the distributive property.

$x \cdot x + x \cdot - 8 + 8 x + 8 \cdot - 8$

Simplify terms.

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

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

$x \cdot x - 8 x + 8 x + 8 \cdot - 8$

Add $- 8 x$ and $8 x$ .

$x \cdot x + 0 + 8 \cdot - 8$

Add $x \cdot x$ and $0$ .

$x \cdot x + 8 \cdot - 8$

Simplify each term.

Multiply $x$ by $x$ .

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

Multiply $8$ by $- 8$ .

$x^{2} - 64$