Simplify (x+6)*(x-6)

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

Step 1

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

Apply the distributive property.

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

Apply the distributive property.

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

Apply the distributive property.

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

Step 2

Simplify terms.

Combine the opposite terms in $x \cdot x + x \cdot - 6 + 6 x + 6 \cdot - 6$ .

Reorder the factors in the terms $x \cdot - 6$ and $6 x$ .

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

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

$x \cdot x + 0 + 6 \cdot - 6$

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

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

Simplify each term.

Multiply $x$ by $x$ .

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

Multiply $6$ by $- 6$ .

$x^{2} - 36$