Question 112199
{{{(x^2-3x-10)/(x^2-x-20)}}} Start with the given expression 



{{{((x-5)(x+2))/(x^2-x-20)}}} Factor {{{x^2-3x-10}}} to get {{{(x-5)(x+2)}}}  (note: if you need help with factoring, check out this <a href=http://www.algebra.com/algebra/homework/playground/change-this-name4450.solver>solver</a>)


{{{((x-5)(x+2))/((x-5)(x+4))}}} Factor {{{x^2-x-20}}} to get {{{(x-5)(x+4)}}}  



{{{(cross((x-5))(x+2))/(cross((x-5))(x+4))}}} Cancel like terms



{{{(x+2)/(x+4)}}} Simplify



So {{{(x^2-3x-10)/(x^2-x-20)}}} simplifies to {{{(x+2)/(x+4)}}}