Question 34522
{{{ (((x^2+x-20)/(x^2-7x+12))) / (((x^2+10+25)/(x^2-6x+9))) }}}
Factor ALL parts
{{{ (((x+5)(x-4)/(x-4)(x-3))) / (((x+5)(x+5)/(x-3)(x-3))) }}}
Since this is a complex fraction ... follow this rule ...
{{{ (((A)/(B))/((C)/(D))) = (AD)/(BC) }}}
{{{ ((x+5)(x-4)(x-3)(x-3))/((x-4)(x-3)(x+5)(x+5)) }}}
Cancel
{{{ (x-3)/(x+5) }}}