Question 326285


{{{(x^2-x-6)/(x^2-4)}}} Start with the given expression.



{{{((x+2)(x-3))/(x^2-4)}}} Factor {{{x^2-x-6}}} to get {{{(x+2)(x-3)}}}.



{{{((x+2)(x-3))/((x-2)(x+2))}}} Factor {{{x^2-4}}} to get {{{(x-2)(x+2)}}}.



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



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



{{{(x-3)/(x-2)}}} Simplify. 



So {{{(x^2-x-6)/(x^2-4)}}} simplifies to {{{(x-3)/(x-2)}}}.



In other words, {{{(x^2-x-6)/(x^2-4)=(x-3)/(x-2)}}}