Simplify (x-2)(x-8)

$(x - 2) (x - 8)$

Step 1

Expand $(x - 2) (x - 8)$ using the FOIL Method.

Apply the distributive property.

$x (x - 8) - 2 (x - 8)$

Apply the distributive property.

$x \cdot x + x \cdot - 8 - 2 (x - 8)$

Apply the distributive property.

$x \cdot x + x \cdot - 8 - 2 x - 2 \cdot - 8$

$x \cdot x + x \cdot - 8 - 2 x - 2 \cdot - 8$

Step 2

Simplify and combine like terms.

Simplify each term.

Multiply $x$ by $x$ .

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

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

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

Multiply $- 2$ by $- 8$ .

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

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

Subtract $2 x$ from $- 8 x$ .

$x^{2} - 10 x + 16$

$x^{2} - 10 x + 16$

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