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

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

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

Apply the distributive property.

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

Apply the distributive property.

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

Apply the distributive property.

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

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 $3 x$ .

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

Add $- 3 x$ and $3 x$ .

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

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

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

Simplify each term.

Multiply $x$ by $x$ .

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

Multiply $3$ by $- 3$ .

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

Expand $(x^{2} - 9) (3 x + 2)$ using the FOIL Method.

Apply the distributive property.

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

Apply the distributive property.

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

Apply the distributive property.

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

Simplify each term.

Rewrite using the commutative property of multiplication.

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

Multiply $x^{2}$ by $x$ by adding the exponents.

Move $x$ .

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

Multiply $x$ by $x^{2}$ .

Raise $x$ to the power of $1$ .

$3 (x^{1} x^{2}) + x^{2} \cdot 2 - 9 (3 x) - 9 \cdot 2$

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$3 x^{1 + 2} + x^{2} \cdot 2 - 9 (3 x) - 9 \cdot 2$

Add $1$ and $2$ .

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

Move $2$ to the left of $x^{2}$ .

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

Multiply $3$ by $- 9$ .

$3 x^{3} + 2 x^{2} - 27 x - 9 \cdot 2$

Multiply $- 9$ by $2$ .

$3 x^{3} + 2 x^{2} - 27 x - 18$

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

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