Question 189043

{{{(x^2+7x+6)/(x+6)}}} Start with the given expression.



{{{((x+6)(x+1))/(x+6)}}} Factor {{{x^2+7x+6}}} to get {{{(x+6)(x+1)}}}.



{{{(highlight((x+6))(x+1))/(highlight((x+6)))}}} Highlight the common terms. 



{{{(cross((x+6))(x+1))/(cross((x+6)))}}} Cancel out the common terms. 



{{{x+1}}} Simplify. 



So {{{(x^2+7x+6)/(x+6)}}} simplifies to {{{x+1}}}.



In other words, {{{(x^2+7x+6)/(x+6)=x+1}}} where {{{x<>-6}}}