Question 196810


{{{(x^2+3x+2)/(x+2)}}} Start with the given expression.



{{{((x+2)(x+1))/(x+2)}}} Factor {{{x^2+3x+2}}} to get {{{(x+2)*(x+1)}}}.



{{{(highlight((x+2))(x+1))/(highlight((x+2)))}}} Highlight the common terms. 



{{{(cross((x+2))(x+1))/(cross((x+2)))}}} Cancel out the common terms. 



{{{x+1}}} Simplify. 



So {{{(x^2+3x+2)/(x+2)}}} simplifies to {{{x+1}}}.



In other words, {{{(x^2+3x+2)/(x+2)=x+1}}} where {{{x<>-2}}}