Simplify (3x-2)(x-4)

$(3 x - 2) (x - 4)$

Step 1

Expand $(3 x - 2) (x - 4)$ using the FOIL Method.

Apply the distributive property.

$3 x (x - 4) - 2 (x - 4)$

Apply the distributive property.

$3 x \cdot x + 3 x \cdot - 4 - 2 (x - 4)$

Apply the distributive property.

$3 x \cdot x + 3 x \cdot - 4 - 2 x - 2 \cdot - 4$

Step 2

Simplify and combine like terms.

Simplify each term.

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

Move $x$ .

$3 (x \cdot x) + 3 x \cdot - 4 - 2 x - 2 \cdot - 4$

Multiply $x$ by $x$ .

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

Multiply $- 4$ by $3$ .

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

Multiply $- 2$ by $- 4$ .

$3 x^{2} - 12 x - 2 x + 8$

Subtract $2 x$ from $- 12 x$ .

$3 x^{2} - 14 x + 8$