Evaluate 2(x-3)^2

$2 {(x - 3)}^{2}$

Rewrite ${(x - 3)}^{2}$ as $(x - 3) (x - 3)$ .

$2 ((x - 3) (x - 3))$

Expand $(x - 3) (x - 3)$ using the FOIL Method.

Apply the distributive property.

$2 (x (x - 3) - 3 (x - 3))$

Apply the distributive property.

$2 (x \cdot x + x \cdot - 3 - 3 (x - 3))$

Apply the distributive property.

$2 (x \cdot x + x \cdot - 3 - 3 x - 3 \cdot - 3)$

$2 (x \cdot x + x \cdot - 3 - 3 x - 3 \cdot - 3)$

Simplify and combine like terms.

Simplify each term.

Multiply $x$ by $x$ .

$2 (x^{2} + x \cdot - 3 - 3 x - 3 \cdot - 3)$

Move $- 3$ to the left of $x$ .

$2 (x^{2} - 3 \cdot x - 3 x - 3 \cdot - 3)$

Multiply $- 3$ by $- 3$ .

$2 (x^{2} - 3 x - 3 x + 9)$

$2 (x^{2} - 3 x - 3 x + 9)$

Subtract $3 x$ from $- 3 x$ .

$2 (x^{2} - 6 x + 9)$

$2 (x^{2} - 6 x + 9)$

Apply the distributive property.

$2 x^{2} + 2 (- 6 x) + 2 \cdot 9$

Simplify.

Multiply $- 6$ by $2$ .

$2 x^{2} - 12 x + 2 \cdot 9$

Multiply $2$ by $9$ .

$2 x^{2} - 12 x + 18$

$2 x^{2} - 12 x + 18$

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