Find the Product (x-6)^2

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

Step 1

Rewrite ${(x - 6)}^{2}$ as $(x - 6) (x - 6)$ .

$(x - 6) (x - 6)$

Step 2

Expand $(x - 6) (x - 6)$ using the FOIL Method.

Apply the distributive property.

$x (x - 6) - 6 (x - 6)$

Apply the distributive property.

$x \cdot x + x \cdot - 6 - 6 (x - 6)$

Apply the distributive property.

$x \cdot x + x \cdot - 6 - 6 x - 6 \cdot - 6$

$x \cdot x + x \cdot - 6 - 6 x - 6 \cdot - 6$

Step 3

Simplify and combine like terms.

Simplify each term.

Multiply $x$ by $x$ .

$x^{2} + x \cdot - 6 - 6 x - 6 \cdot - 6$

Move $- 6$ to the left of $x$ .

$x^{2} - 6 \cdot x - 6 x - 6 \cdot - 6$

Multiply $- 6$ by $- 6$ .

$x^{2} - 6 x - 6 x + 36$

$x^{2} - 6 x - 6 x + 36$

Subtract $6 x$ from $- 6 x$ .

$x^{2} - 12 x + 36$

$x^{2} - 12 x + 36$

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