Question 123015

{{{(9-x^2)/(x-3)}}} Start with the given expression



{{{(-x^2+9)/(x-3)}}} Rearrange the terms 



{{{-(x^2-9)/(x-3)}}} Factor out a negative 1 from {{{-x^2+9}}} to get {{{-(x^2-9)}}}


{{{-((x+3)(x-3))/(x-3)}}}   Factor {{{x^2-9}}} to get {{{(x+3)(x-3)}}} 





{{{-(x+3)cross((x-3))/cross((x-3))}}} Cancel like terms



{{{-(x+3)}}} Simplify



{{{-x-3}}} Distribute the negative



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Answer:


So {{{(9-x^2)/(x-3)}}} simplifies to {{{-x-3}}}. In other words {{{(9-x^2)/(x-3)=-x-3}}}




So this means that the answer is E)