Pre-Algebra Examples

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

Step 1

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

Tap for more steps...

Step 1.1

Apply the distributive property.

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

Step 1.2

Apply the distributive property.

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

Step 1.3

Apply the distributive property.

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

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

Step 2

Simplify and combine like terms.

Tap for more steps...

Step 2.1

Simplify each term.

Tap for more steps...

Step 2.1.1

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

Tap for more steps...

Step 2.1.1.1

Move $x$ .

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

Step 2.1.1.2

Multiply $x$ by $x$ .

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

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

Step 2.1.2

Multiply $- 4$ by $3$ .

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

Step 2.1.3

Multiply $2$ by $- 4$ .

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

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

Step 2.2

Add $- 12 x$ and $2 x$ .

$3 x^{2} - 10 x - 8$

$3 x^{2} - 10 x - 8$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$