Pre-Algebra Examples

$(x + 12) (x - 12)$

Step 1

Expand $(x + 12) (x - 12)$ using the FOIL Method.

Tap for more steps...

Step 1.1

Apply the distributive property.

$x (x - 12) + 12 (x - 12)$

Step 1.2

Apply the distributive property.

$x \cdot x + x \cdot - 12 + 12 (x - 12)$

Step 1.3

Apply the distributive property.

$x \cdot x + x \cdot - 12 + 12 x + 12 \cdot - 12$

Step 2

Simplify terms.

Tap for more steps...

Step 2.1

Combine the opposite terms in $x \cdot x + x \cdot - 12 + 12 x + 12 \cdot - 12$ .

Tap for more steps...

Step 2.1.1

Reorder the factors in the terms $x \cdot - 12$ and $12 x$ .

$x \cdot x - 12 x + 12 x + 12 \cdot - 12$

Step 2.1.2

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

$x \cdot x + 0 + 12 \cdot - 12$

Step 2.1.3

Add $x \cdot x$ and $0$ .

$x \cdot x + 12 \cdot - 12$

Step 2.2

Simplify each term.

Tap for more steps...

Step 2.2.1

Multiply $x$ by $x$ .

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

Step 2.2.2

Multiply $12$ by $- 12$ .

$x^{2} - 144$