Question 238545


{{{(x^2-8x+15)/(x^2-9x+20)}}} Start with the given expression.



{{{((x-3)*(x-5))/(x^2-9x+20)}}} Factor {{{x^2-8x+15}}} to get {{{(x-3)*(x-5)}}}.



{{{((x-3)*(x-5))/((x-4)*(x-5))}}} Factor {{{x^2-9x+20}}} to get {{{(x-4)*(x-5)}}}.



{{{((x-3)highlight(x-5))/((x-4)highlight(x-5))}}} Highlight the common terms. 



{{{((x-3)cross(x-5))/((x-4)cross(x-5))}}} Cancel out the common terms. 



{{{(x-3)/(x-4)}}} Simplify. 



So {{{(x^2-8x+15)/(x^2-9x+20)}}} simplifies to {{{(x-3)/(x-4)}}}.



In other words, {{{(x^2-8x+15)/(x^2-9x+20)=(x-3)/(x-4)}}}