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 $10 x$ .

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

Add $- 10 x$ and $10 x$ .

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

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 $- 10$ .

$x^{2} - 100$