Evaluate (x+7)(x-7)

$(x + 7) (x - 7)$

Expand $(x + 7) (x - 7)$ using the FOIL Method.

Apply the distributive property.

$x (x - 7) + 7 (x - 7)$

Apply the distributive property.

$x \cdot x + x \cdot - 7 + 7 (x - 7)$

Apply the distributive property.

$x \cdot x + x \cdot - 7 + 7 x + 7 \cdot - 7$

Simplify terms.

Combine the opposite terms in $x \cdot x + x \cdot - 7 + 7 x + 7 \cdot - 7$ .

Reorder the factors in the terms $x \cdot - 7$ and $7 x$ .

$x \cdot x - 7 x + 7 x + 7 \cdot - 7$

Add $- 7 x$ and $7 x$ .

$x \cdot x + 0 + 7 \cdot - 7$

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

$x \cdot x + 7 \cdot - 7$

Simplify each term.

Multiply $x$ by $x$ .

$x^{2} + 7 \cdot - 7$

Multiply $7$ by $- 7$ .

$x^{2} - 49$