Simplify (x-10)(x+10)

$(x - 10) (x + 10)$

Step 1

Expand $(x - 10) (x + 10)$ using the FOIL Method.

Apply the distributive property.

$x (x + 10) - 10 (x + 10)$

Apply the distributive property.

$x \cdot x + x \cdot 10 - 10 (x + 10)$

Apply the distributive property.

$x \cdot x + x \cdot 10 - 10 x - 10 \cdot 10$

Step 2

Simplify terms.

Combine the opposite terms in $x \cdot x + x \cdot 10 - 10 x - 10 \cdot 10$ .

Reorder the factors in the terms $x \cdot 10$ and $- 10 x$ .

$x \cdot x + 10 x - 10 x - 10 \cdot 10$

Subtract $10 x$ from $10 x$ .

$x \cdot x + 0 - 10 \cdot 10$

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

$x \cdot x - 10 \cdot 10$

Simplify each term.

Multiply $x$ by $x$ .

$x^{2} - 10 \cdot 10$

Multiply $- 10$ by $10$ .

$x^{2} - 100$