Question 205160
Simplify:
{{{((9x+3)/(x^2-9))-(5/(x-3))}}} Factor the denominator of the first fraction.
{{{((9x+3)/(x+3)(x-3))-(5/(x-3))}}} Multiply the second fraction by {{{(x+3)/(x+3)}}}
{{{((9x+3)/(x+3)(x-3))-(5(x+3)/(x+3)(x-3))}}} Subtract the two fractions.
{{{(9x+3-5x-15)/(x+3)(x-3)}}} Simplify the numerator.
{{{(4x-12)/(x+3)(x-3)}}} Factor 4 from the numerator.
{{{4*cross((x-3))/(x+3)cross((x-3))}}} Cancel the common factors (x-3) as indicated, to leave you with:

{{{highlight(4/(x+3))}}}