Simplify (x-2)(x-9)

$(x - 2) (x - 9)$

Step 1

Expand $(x - 2) (x - 9)$ using the FOIL Method.

Apply the distributive property.

$x (x - 9) - 2 (x - 9)$

Apply the distributive property.

$x \cdot x + x \cdot - 9 - 2 (x - 9)$

Apply the distributive property.

$x \cdot x + x \cdot - 9 - 2 x - 2 \cdot - 9$

$x \cdot x + x \cdot - 9 - 2 x - 2 \cdot - 9$

Step 2

Simplify and combine like terms.

Simplify each term.

Multiply $x$ by $x$ .

$x^{2} + x \cdot - 9 - 2 x - 2 \cdot - 9$

Move $- 9$ to the left of $x$ .

$x^{2} - 9 \cdot x - 2 x - 2 \cdot - 9$

Multiply $- 2$ by $- 9$ .

$x^{2} - 9 x - 2 x + 18$

$x^{2} - 9 x - 2 x + 18$

Subtract $2 x$ from $- 9 x$ .

$x^{2} - 11 x + 18$

$x^{2} - 11 x + 18$

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