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

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

Step 1

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

Apply the distributive property.

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

Apply the distributive property.

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

Apply the distributive property.

$x \cdot x + x \cdot 3 - 3 x - 3 \cdot 3$

Step 2

Simplify terms.

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

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

$x \cdot x + 3 x - 3 x - 3 \cdot 3$

Subtract $3 x$ from $3 x$ .

$x \cdot x + 0 - 3 \cdot 3$

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

$x \cdot x - 3 \cdot 3$

Simplify each term.

Multiply $x$ by $x$ .

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

Multiply $- 3$ by $3$ .

$x^{2} - 9$