Question 194961
Please don't type in all uppercase. It's hard to read that way.




{{{(x^2+8x+15)/(x^2+5x+6)}}} Start with the given expression.



{{{((x+5)(x+3))/(x^2+5x+6)}}} Factor {{{x^2+8x+15}}} to get {{{(x+5)(x+3)}}}.



{{{((x+5)(x+3))/((x+3)(x+2))}}} Factor {{{x^2+5x+6}}} to get {{{(x+3)(x+2)}}}.



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



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



{{{(x+5)/(x+2)}}} Simplify. 



So {{{(x^2+8x+15)/(x^2+5x+6)}}} simplifies to {{{(x+5)/(x+2)}}}.



In other words, {{{(x^2+8x+15)/(x^2+5x+6)=(x+5)/(x+2)}}} where {{{x<>-3}}} or {{{x<>-2}}}