Respuesta :

we have the expression

[tex]x^2-16x+64[/tex]

Complete the square

[tex]\begin{gathered} (x^2-16x)+64=0 \\ (x^2-16x+8^2-8^2)+64 \\ (x^2-16x+8^2)+64-8^2 \\ rewrite\text{ as perfect square} \\ (x-8)^2 \end{gathered}[/tex]