How do you find the product (x-6)^2?

${\left(x - 6\right)}^{2} = {x}^{2} - 12 x + 36$

Explanation:

To find
${\left(x - 6\right)}^{2}$
${\left(x - 6\right)}^{2} = \left(x - 6\right) \left(x - 6\right)$
$\left(x - 6\right) \left(x - 6\right) = x \cdot x - 6 \cdot x - x \cdot 6 + 6 \times 6$
$= {x}^{2} - 6 x - 6 x + 36$
$= {x}^{2} - 12 x + 36$
Thus,
${\left(x - 6\right)}^{2} = {x}^{2} - 12 x + 36$