Evaluate (7-x)^2

${(7 - x)}^{2}$

Rewrite ${(7 - x)}^{2}$ as $(7 - x) (7 - x)$ .

$(7 - x) (7 - x)$

Expand $(7 - x) (7 - x)$ using the FOIL Method.

Apply the distributive property.

$7 (7 - x) - x (7 - x)$

Apply the distributive property.

$7 \cdot 7 + 7 (- x) - x (7 - x)$

Apply the distributive property.

$7 \cdot 7 + 7 (- x) - x \cdot 7 - x (- x)$

$7 \cdot 7 + 7 (- x) - x \cdot 7 - x (- x)$

Simplify and combine like terms.

Simplify each term.

Multiply $7$ by $7$ .

$49 + 7 (- x) - x \cdot 7 - x (- x)$

Multiply $- 1$ by $7$ .

$49 - 7 x - x \cdot 7 - x (- x)$

Multiply $7$ by $- 1$ .

$49 - 7 x - 7 x - x (- x)$

Rewrite using the commutative property of multiplication.

$49 - 7 x - 7 x - 1 \cdot - 1 x \cdot x$

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

Move $x$ .

$49 - 7 x - 7 x - 1 \cdot - 1 (x \cdot x)$

Multiply $x$ by $x$ .

$49 - 7 x - 7 x - 1 \cdot - 1 x^{2}$

$49 - 7 x - 7 x - 1 \cdot - 1 x^{2}$

Multiply $- 1$ by $- 1$ .

$49 - 7 x - 7 x + 1 x^{2}$

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

$49 - 7 x - 7 x + x^{2}$

$49 - 7 x - 7 x + x^{2}$

Subtract $7 x$ from $- 7 x$ .

$49 - 14 x + x^{2}$

$49 - 14 x + x^{2}$

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