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

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

Step 1

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

Apply the distributive property.

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

Apply the distributive property.

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

Apply the distributive property.

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

Step 2

Simplify and combine like terms.

Simplify each term.

Rewrite using the commutative property of multiplication.

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

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

Move $x$ .

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

Multiply $x$ by $x$ .

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

Move $- 2$ to the left of $x$ .

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

Multiply $3$ by $3$ .

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

Multiply $3$ by $- 2$ .

$3 x^{2} - 2 x + 9 x - 6$

Add $- 2 x$ and $9 x$ .

$3 x^{2} + 7 x - 6$