Simplify (3x+3)(x+4)

$(3 x + 3) (x + 4)$

Step 1

Expand $(3 x + 3) (x + 4)$ using the FOIL Method.

Apply the distributive property.

$3 x (x + 4) + 3 (x + 4)$

Apply the distributive property.

$3 x \cdot x + 3 x \cdot 4 + 3 (x + 4)$

Apply the distributive property.

$3 x \cdot x + 3 x \cdot 4 + 3 x + 3 \cdot 4$

$3 x \cdot x + 3 x \cdot 4 + 3 x + 3 \cdot 4$

Step 2

Simplify and combine like terms.

Simplify each term.

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

Move $x$ .

$3 (x \cdot x) + 3 x \cdot 4 + 3 x + 3 \cdot 4$

Multiply $x$ by $x$ .

$3 x^{2} + 3 x \cdot 4 + 3 x + 3 \cdot 4$

$3 x^{2} + 3 x \cdot 4 + 3 x + 3 \cdot 4$

Multiply $4$ by $3$ .

$3 x^{2} + 12 x + 3 x + 3 \cdot 4$

Multiply $3$ by $4$ .

$3 x^{2} + 12 x + 3 x + 12$

$3 x^{2} + 12 x + 3 x + 12$

Add $12 x$ and $3 x$ .

$3 x^{2} + 15 x + 12$

$3 x^{2} + 15 x + 12$

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