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.

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

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

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 $x$ .

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

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

Multiply $2$ by $3$ .

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

Multiply $- 4$ by $2$ .

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

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

Subtract $4 x$ from $6 x$ .

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

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

Related Questions