Question 201445
{{{(5x^2+25x)/(5x^2-125)}}} Start with the given expression.



{{{(5*x*(x+5))/(5x^2-125)}}} Factor {{{5x^2+25x}}} to get {{{5*x*(x+5)}}}.



{{{(5*x*(x+5))/(5*(x-5)*(x+5))}}} Factor {{{5x^2-125}}} to get {{{5*(x-5)*(x+5)}}}.



{{{(highlight(5)*x*highlight((x+5)))/(highlight(5)(x-5)highlight((x+5)))}}} Highlight the common terms. 



{{{(cross(5)*x*cross((x+5)))/(cross(5)(x-5)cross(x+5))}}} Cancel out the common terms. 



{{{x/(x-5)}}} Simplify.



So {{{(5x^2+25x)/(5x^2-125)}}} simplifies to {{{x/(x-5)}}}.



In other words, {{{(5x^2+25x)/(5x^2-125)=x/(x-5)}}}.