Question 120823

{{{(-2x-8)/(x^2+2x-8)}}} Start with the given expression


{{{(-2(x+4))/(x^2+2x-8)}}}   Factor {{{-2x-8}}} to get {{{-2(x+4)}}} 


{{{(-2(x+4))/((x+4)(x-2))}}}   Factor {{{x^2+2x-8}}} to get {{{(x+4)(x-2)}}} 



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



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



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Answer:


So {{{(-2x-8)/(x^2+2x-8)}}} simplifies to {{{-2/(x-2)}}} In other words {{{(-2x-8)/(x^2+2x-8)=-2/(x-2)}}}