Simplify (x-8)(x+8)

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

Step 1

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.

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

Step 2

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 $- 8 x$ .

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

Subtract $8 x$ from $8 x$ .

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

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 $8$ .

$x^{2} - 64$