Question 144452
{{{((x+3)/(x^3-x^2-6x))((x)/(x^2-9))}}} Start with the given expression


{{{((x+3)/(x(x-3)(x+2)))((x)/(x^2-9))}}}   Factor {{{x^3-x^2-6x}}} to get {{{x(x-3)(x+2)}}} 


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



{{{(x+3)(x)/(x(x-3)(x+2)(x+3)(x-3))}}} Combine the fractions



{{{cross((x+3))cross(x)/(cross(x)(x-3)(x+2)cross((x+3))(x-3))}}} Cancel like terms



{{{1/((x-3)(x+2)(x-3))}}} Simplify



{{{1/((x-3)^2(x+2))}}} Multiply



So  {{{((x+3)/(x^3-x^2-6x))((x)/(x^2-9))}}} simplifies to {{{1/((x-3)^2(x+2))}}}