Simplify (3x-1)(x+4)

$(3 x - 1) (x + 4)$

Step 1

Expand $(3 x - 1) (x + 4)$ using the FOIL Method.

Apply the distributive property.

$3 x (x + 4) - 1 (x + 4)$

Apply the distributive property.

$3 x \cdot x + 3 x \cdot 4 - 1 (x + 4)$

Apply the distributive property.

$3 x \cdot x + 3 x \cdot 4 - 1 x - 1 \cdot 4$

$3 x \cdot x + 3 x \cdot 4 - 1 x - 1 \cdot 4$

Step 2

Simplify and combine like terms.

Simplify each term.

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

Move $x$ .

$3 (x \cdot x) + 3 x \cdot 4 - 1 x - 1 \cdot 4$

Multiply $x$ by $x$ .

$3 x^{2} + 3 x \cdot 4 - 1 x - 1 \cdot 4$

$3 x^{2} + 3 x \cdot 4 - 1 x - 1 \cdot 4$

Multiply $4$ by $3$ .

$3 x^{2} + 12 x - 1 x - 1 \cdot 4$

Rewrite $- 1 x$ as $- x$ .

$3 x^{2} + 12 x - x - 1 \cdot 4$

Multiply $- 1$ by $4$ .

$3 x^{2} + 12 x - x - 4$

$3 x^{2} + 12 x - x - 4$

Subtract $x$ from $12 x$ .

$3 x^{2} + 11 x - 4$

$3 x^{2} + 11 x - 4$

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