Question 116825
{{{((x^2 -6x +9)/(-24x))/((x-3)/(-6x))}}}


Just like when you first learned to divide fractions, the rule is "invert and multiply," so:


{{{((x^2 -6x +9)/(-24x))/((x-3)/(-6x))=((x^2 -6x +9)/(-24x))*((-6x)/(x-3))}}}


Now, let's factor the first term numerator:


{{{((x-3)(x-3)/(-24x))*((-6x)/(x-3))}}}


And remove common factors from numerator and denominator:


{{{(cross((x-3))(x-3)/(4*cross((-24x))))*(cross((-6x))/cross((x-3)))=(x-3)/4}}}


I believe that is your answer a -- Final Answer, Regis.


Hope that helps,
John