Question 206873


{{{(x^2+3x-10)/(x+5)}}} Start with the given expression.



{{{((x+5)(x-2))/(x+5)}}} Factor {{{x^2+3x-10}}} to get {{{(x+5)(x-2)}}}.



{{{(highlight((x+5))(x-2))/(highlight((x+5)))}}} Highlight the common terms. 



{{{(cross((x+5))(x-2))/(cross((x+5)))}}} Cancel out the common terms. 



{{{x-2}}} Simplify. 



So {{{(x^2+3x-10)/(x+5)}}} simplifies to {{{x-2}}}.



In other words, {{{(x^2+3x-10)/(x+5)=x-2}}} where {{{x<>-5}}}