Simplify (x-6)(x+2)

$(x - 6) (x + 2)$

Step 1

Expand $(x - 6) (x + 2)$ using the FOIL Method.

Apply the distributive property.

$x (x + 2) - 6 (x + 2)$

Apply the distributive property.

$x \cdot x + x \cdot 2 - 6 (x + 2)$

Apply the distributive property.

$x \cdot x + x \cdot 2 - 6 x - 6 \cdot 2$

$x \cdot x + x \cdot 2 - 6 x - 6 \cdot 2$

Step 2

Simplify and combine like terms.

Simplify each term.

Multiply $x$ by $x$ .

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

Move $2$ to the left of $x$ .

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

Multiply $- 6$ by $2$ .

$x^{2} + 2 x - 6 x - 12$

$x^{2} + 2 x - 6 x - 12$

Subtract $6 x$ from $2 x$ .

$x^{2} - 4 x - 12$

$x^{2} - 4 x - 12$

Related Questions