Simplify (x-9)^2

${(x - 9)}^{2}$

Step 1

Rewrite ${(x - 9)}^{2}$ as $(x - 9) (x - 9)$ .

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

Step 2

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

Apply the distributive property.

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

Apply the distributive property.

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

Apply the distributive property.

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

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

Step 3

Simplify and combine like terms.

Simplify each term.

Multiply $x$ by $x$ .

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

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

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

Multiply $- 9$ by $- 9$ .

$x^{2} - 9 x - 9 x + 81$

$x^{2} - 9 x - 9 x + 81$

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

$x^{2} - 18 x + 81$

$x^{2} - 18 x + 81$

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