Simplify (3-2x)(3+2x)

$(3 - 2 x) (3 + 2 x)$

Step 1

Expand $(3 - 2 x) (3 + 2 x)$ using the FOIL Method.

Apply the distributive property.

$3 (3 + 2 x) - 2 x (3 + 2 x)$

Apply the distributive property.

$3 \cdot 3 + 3 (2 x) - 2 x (3 + 2 x)$

Apply the distributive property.

$3 \cdot 3 + 3 (2 x) - 2 x \cdot 3 - 2 x (2 x)$

Step 2

Simplify terms.

Combine the opposite terms in $3 \cdot 3 + 3 (2 x) - 2 x \cdot 3 - 2 x (2 x)$ .

Reorder the factors in the terms $3 (2 x)$ and $- 2 x \cdot 3$ .

$3 \cdot 3 + 2 \cdot 3 x - 2 \cdot 3 x - 2 x (2 x)$

Subtract $2 \cdot 3 x$ from $2 \cdot 3 x$ .

$3 \cdot 3 + 0 - 2 x (2 x)$

Add $3 \cdot 3$ and $0$ .

$3 \cdot 3 - 2 x (2 x)$

Simplify each term.

Multiply $3$ by $3$ .

$9 - 2 x (2 x)$

Rewrite using the commutative property of multiplication.

$9 - 2 \cdot 2 x \cdot x$

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

Move $x$ .

$9 - 2 \cdot 2 (x \cdot x)$

Multiply $x$ by $x$ .

$9 - 2 \cdot 2 x^{2}$

Multiply $- 2$ by $2$ .

$9 - 4 x^{2}$