Question 93265
Subtract:
{{{((5a-12)/(a^2-8a+15))-((3a-2)/(a^2-8a+15))}}} You'll notice that these two fractions have a common denominator, so you can subtract the numerators and put the result over the common denominator.
{{{((5a-12)-(3a-2))/(a^2-8a+15)}}} Now you need to simplify this.
{{{(5a-12-3a+2)/(a^2-8a+15)}}}
{{{(2a-10)/(a^2-8a+15)}}} Factor a 2 from the numerator and factor the trinomial in the denominator.
{{{2cross((a-5))/(a-3)cross((a-5))}}} Cancel the indicated factors.
{{{2/(a-3)}}}