Evaluate (3-x)^2

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

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

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

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

Apply the distributive property.

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

Apply the distributive property.

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

Apply the distributive property.

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

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

Simplify and combine like terms.

Simplify each term.

Multiply $3$ by $3$ .

$9 + 3 (- x) - x \cdot 3 - x (- x)$

Multiply $- 1$ by $3$ .

$9 - 3 x - x \cdot 3 - x (- x)$

Multiply $3$ by $- 1$ .

$9 - 3 x - 3 x - x (- x)$

Rewrite using the commutative property of multiplication.

$9 - 3 x - 3 x - 1 \cdot - 1 x \cdot x$

Multiply $x$ by $x$ by adding the exponents.

Move $x$ .

$9 - 3 x - 3 x - 1 \cdot - 1 (x \cdot x)$

Multiply $x$ by $x$ .

$9 - 3 x - 3 x - 1 \cdot - 1 x^{2}$

$9 - 3 x - 3 x - 1 \cdot - 1 x^{2}$

Multiply $- 1$ by $- 1$ .

$9 - 3 x - 3 x + 1 x^{2}$

Multiply $x^{2}$ by $1$ .

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

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

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

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

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

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