Hey there mate!
Your answer: [tex]\boxed{(x-4)^2}[/tex]
[tex] Factoring : x^2-8x+16 \\ \\ \\ \left[\begin{array}{ccc} -16 + -1 = -17
\\ \\ -8 + -2 = -10 \\ \\ -4 + -4 = -8\end{array}\right] (That's \ it!)
\\ \\ \\ Add \ up \ the \first \ 2 \ terms, \ pulling \ out \ like \ factors : \\ \\ x * (x-4) \\ \\
Add \ up \ the \ last \ 2 \ terms, \ pulling \ out \ common \ factors : \\ \\
4 * (x-4) \\ \\ Multiply \\ \\ \boxed{(x-4) by (x-4) } \\ \\ \\ [/tex]
[tex]Your \ correct \ correct \ answer \ would \ be... \\
\boxed{\boxed{(x-4)^2}}[/tex]
I hope this helps you!