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

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

Step 1

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

Apply the distributive property.

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

Apply the distributive property.

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

Apply the distributive property.

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

Step 2

Simplify and combine like terms.

Simplify each term.

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

Move $x$ .

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

Multiply $x$ by $x$ .

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

Multiply $- 2$ by $3$ .

$3 x^{2} - 6 x + 4 x + 4 \cdot - 2$

Multiply $4$ by $- 2$ .

$3 x^{2} - 6 x + 4 x - 8$

Add $- 6 x$ and $4 x$ .

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