Find the Product (x-8)^2

${(x - 8)}^{2}$

Rewrite ${(x - 8)}^{2}$ as $(x - 8) (x - 8)$ .

$(x - 8) (x - 8)$

Expand $(x - 8) (x - 8)$ using the FOIL Method.

Apply the distributive property.

$x (x - 8) - 8 (x - 8)$

Apply the distributive property.

$x \cdot x + x \cdot - 8 - 8 (x - 8)$

Apply the distributive property.

$x \cdot x + x \cdot - 8 - 8 x - 8 \cdot - 8$

$x \cdot x + x \cdot - 8 - 8 x - 8 \cdot - 8$

Simplify and combine like terms.

Simplify each term.

Multiply $x$ by $x$ .

$x^{2} + x \cdot - 8 - 8 x - 8 \cdot - 8$

Move $- 8$ to the left of $x$ .

$x^{2} - 8 \cdot x - 8 x - 8 \cdot - 8$

Multiply $- 8$ by $- 8$ .

$x^{2} - 8 x - 8 x + 64$

$x^{2} - 8 x - 8 x + 64$

Subtract $8 x$ from $- 8 x$ .

$x^{2} - 16 x + 64$

$x^{2} - 16 x + 64$

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