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 $6$ .

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

Subtract $18 x$ from $18 x$ .

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

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

$9 x^{2} - 36$