Question 75939
{{{ ((5a-12)/(a^2-8a+15)) - ((3a-2)/(a^2-8a+15)) }}}
Since the denominators are the same .... subtract the 2 quantities.
{{{ (5a-12-3a+2)/(a^2-8a+15) }}}
combine like terms
{{{ (2a-10)/(a^2-8a+15) }}}
Factor the numerator and denominator
{{{ 2(a-5)/(a-3)(a-5) }}}
Reduce
{{{ 2/(a-3) }}}
DONE