Question 150981

{{{(x^2-2x+1)/(x-1)}}} Start with the given expression.



{{{((x-1)(x-1))/(x-1)}}} Factor {{{x^2-2x+1}}} to get {{{(x-1)(x-1)}}}.



{{{(highlight((x-1))(x-1))/(highlight((x-1)))}}} Highlight the common terms. 



{{{(cross((x-1))(x-1))/(cross((x-1)))}}} Cancel out the common terms. 



{{{x-1}}} Simplify. 



So {{{(x^2-2x+1)/(x-1)}}} simplifies to {{{x-1}}}.



In other words, {{{(x^2-2x+1)/(x-1)=x-1}}} where {{{x<>1}}}