Expand the Trigonometric Expression (x-12)^2

${(x - 12)}^{2}$

Step 1

Rewrite ${(x - 12)}^{2}$ as $(x - 12) (x - 12)$ .

$(x - 12) (x - 12)$

Step 2

Expand $(x - 12) (x - 12)$ using the FOIL Method.

Apply the distributive property.

$x (x - 12) - 12 (x - 12)$

Apply the distributive property.

$x \cdot x + x \cdot - 12 - 12 (x - 12)$

Apply the distributive property.

$x \cdot x + x \cdot - 12 - 12 x - 12 \cdot - 12$

$x \cdot x + x \cdot - 12 - 12 x - 12 \cdot - 12$

Step 3

Simplify and combine like terms.

Simplify each term.

Multiply $x$ by $x$ .

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

Move $- 12$ to the left of $x$ .

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

Multiply $- 12$ by $- 12$ .

$x^{2} - 12 x - 12 x + 144$

$x^{2} - 12 x - 12 x + 144$

Subtract $12 x$ from $- 12 x$ .

$x^{2} - 24 x + 144$

$x^{2} - 24 x + 144$

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