Simplify (3x+6)(3x-6)

$(3 x + 6) (3 x - 6)$

Step 1

Expand $(3 x + 6) (3 x - 6)$ using the FOIL Method.

Apply the distributive property.

$3 x (3 x - 6) + 6 (3 x - 6)$

Apply the distributive property.

$3 x (3 x) + 3 x \cdot - 6 + 6 (3 x - 6)$

Apply the distributive property.

$3 x (3 x) + 3 x \cdot - 6 + 6 (3 x) + 6 \cdot - 6$

Step 2

Simplify and combine like terms.

Simplify each term.

Rewrite using the commutative property of multiplication.

$3 \cdot 3 x \cdot x + 3 x \cdot - 6 + 6 (3 x) + 6 \cdot - 6$

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

Move $x$ .

$3 \cdot 3 (x \cdot x) + 3 x \cdot - 6 + 6 (3 x) + 6 \cdot - 6$

Multiply $x$ by $x$ .

$3 \cdot 3 x^{2} + 3 x \cdot - 6 + 6 (3 x) + 6 \cdot - 6$

Multiply $3$ by $3$ .

$9 x^{2} + 3 x \cdot - 6 + 6 (3 x) + 6 \cdot - 6$

Multiply $- 6$ by $3$ .

$9 x^{2} - 18 x + 6 (3 x) + 6 \cdot - 6$

Multiply $3$ by $6$ .

$9 x^{2} - 18 x + 18 x + 6 \cdot - 6$

Multiply $6$ by $- 6$ .

$9 x^{2} - 18 x + 18 x - 36$

Add $- 18 x$ and $18 x$ .

$9 x^{2} + 0 - 36$

Add $9 x^{2}$ and $0$ .

$9 x^{2} - 36$