Simplify (x-4)^2

${(x - 4)}^{2}$

Rewrite ${(x - 4)}^{2}$ as $(x - 4) (x - 4)$ .

$(x - 4) (x - 4)$

Expand $(x - 4) (x - 4)$ using the FOIL Method.

Apply the distributive property.

$x (x - 4) - 4 (x - 4)$

Apply the distributive property.

$x \cdot x + x \cdot - 4 - 4 (x - 4)$

Apply the distributive property.

$x \cdot x + x \cdot - 4 - 4 x - 4 \cdot - 4$

$x \cdot x + x \cdot - 4 - 4 x - 4 \cdot - 4$

Simplify and combine like terms.

Simplify each term.

Multiply $x$ by $x$ .

$x^{2} + x \cdot - 4 - 4 x - 4 \cdot - 4$

Move $- 4$ to the left of $x$ .

$x^{2} - 4 \cdot x - 4 x - 4 \cdot - 4$

Multiply $- 4$ by $- 4$ .

$x^{2} - 4 x - 4 x + 16$

$x^{2} - 4 x - 4 x + 16$

Subtract $4 x$ from $- 4 x$ .

$x^{2} - 8 x + 16$

$x^{2} - 8 x + 16$

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