Question 166282
Are you sure that the numerator isn't {{{2s^2+13s+15}}}???



{{{(2s^2+13s+15)/(s+5)}}} Start with the given expression.



{{{((s+5)(2s+3))/(s+5)}}} Factor {{{2s^2+13s+15}}} to get {{{(s+5)(2s+3)}}}.



{{{(highlight((s+5))(2s+3))/highlight((s+5))}}} Highlight the common terms. 



{{{(cross((s+5))(2s+3))/cross((s+5))}}} Cancel out the common terms. 



{{{2s+3}}} Simplify. 



So {{{(2s^2+13s+15)/(s+5)}}} simplifies to {{{2s+3}}}.



In other words, {{{(2s^2+13s+15)/(s+5)=2s+3}}} where {{{s<>-5}}}



Note: you can graph the original expression and the answer and you'll find that the two expressions are equal