Question

now, write ( x^2 - 16x + 64 = -8 ) as

Explanation:

Step1: Recognize perfect square trinomial

Notice that $x^2 -16x +64$ is a perfect square trinomial, which factors to $(x-8)^2$.

Step2: Rewrite the equation

Substitute the factored form into the original equation.
$$(x-8)^2 = -8$$

Answer:

$\boldsymbol{(x-8)^2 = -8}$