Question 191192


{{{(4x+20)/(x^2+5x)}}} Start with the given expression.



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



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



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



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



{{{4/x}}} Simplify. 



So {{{(4x+20)/(x^2+5x)}}} simplifies to {{{4/x}}}.



In other words, {{{(4x+20)/(x^2+5x)=4/x}}} where {{{x<>-5}}} or {{{x<>0}}}