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

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

Step 1

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

Apply the distributive property.

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

Apply the distributive property.

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

Apply the distributive property.

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

Step 2

Simplify terms.

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

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

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

Add $- 3 \cdot 3 x$ and $3 \cdot 3 x$ .

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

Add $3 x (3 x)$ and $0$ .

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

Simplify each term.

Rewrite using the commutative property of multiplication.

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

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

Move $x$ .

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

Multiply $x$ by $x$ .

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

Multiply $3$ by $3$ .

$9 x^{2} + 3 \cdot - 3$

Multiply $3$ by $- 3$ .

$9 x^{2} - 9$