Question 72427
{{{ (x^2+9)/(5(x+2)) }}} / {{{ (x+3)/(5(x^2-4)) }}}
There is a rule : 
{{{ (a/b)/(c/d) = (ad)/(bc) }}}
Apply this to the problem
{{{ ((x^2+9)(5(x^2-4)))/((x+3)(5(x+2))) }}}
Factor the {{{x^2-4}}} in the numerator
{{{ ((x^2+9)(5((x-2)(x+2))))/((x+3)(5(x+2))) }}}
Cancel the 5 in the numerator and denominator
{{{ ((x^2+9)(x-2)(x+2))/((x+3)(x+2)) }}}
Cancel the x+2 in the numerator and denominator
{{{ ((x^2+9)(x-2))/(x+3) }}}
Assuming that the {{{ x^2+9 }}} is really a + and not a - .... then you are done.