Question 145600


{{{(x^2+10x+21)/(x+7)}}} Start with the given expression.



{{{((x+7)*(x+3))/(x+7)}}} Factor {{{x^2+10x+21}}} to get {{{(x+7)*(x+3)}}}.



{{{(highlight(x+7)(x+3))/(highlight(x+7))}}} Highlight the common terms. 



{{{(cross(x+7)(x+3))/(cross(x+7))}}} Cancel out the common terms. 



{{{x+3}}} Simplify. 



So {{{(x^2+10x+21)/(x+7)}}} simplifies to {{{x+3}}}.



In other words, {{{(x^2+10x+21)/(x+7)=x+3}}} where {{{x<>-7}}}