Question 109116
To simplify this expression, first lets factor the numerator



{{{x^3+4*x^2-3*x-12}}}  Start with the numerator


{{{(x^3+4*x^2)+(-3*x-12)}}}  Group like terms


{{{x^2(x+4)-3(x+4)}}} Factor out the GCF out of each group 


{{{(x^2-3)(x+4)}}} Combine like terms



So the expression {{{(x^3+4x^2-3x-12)/(x^2-3)}}} becomes {{{(x^2-3)(x+4)/(x^2-3)}}} 






Now cancel like terms



{{{cross((x^2-3))(x+4)/cross((x^2-3))}}} 



Simplify


{{{x+4}}} 




So {{{(x^3+4x^2-3x-12)/(x^2-3)}}} simplifies to {{{x+4}}}