Question 193572
{{{(x^2-8x+16)/(x-4)}}} Start with the given expression.



{{{((x-4)(x-4))/(x-4)}}} Factor {{{x^2-8x+16}}} to get {{{(x-4)(x-4)}}}.



{{{(highlight((x-4))(x-4))/(highlight((x-4)))}}} Highlight the common terms. 



{{{(cross((x-4))(x-4))/(cross((x-4)))}}} Cancel out the common terms. 



{{{x-4}}} Simplify. 



So {{{(x^2-8x+16)/(x-4)}}} simplifies to {{{x-4}}}.



In other words, {{{(x^2-8x+16)/(x-4)=x-4}}} where {{{x<>4}}}