Question 85672
You need an LCD. Put your denominators in factored form:
{{{5/((x + 4)(x - 4))}}} - {{{3/((x - 4)(x + 3))}}}
Now it's easy to see that the LCD is (x + 4)(x - 4)(x + 3)
Rewrite each fraction as an equivalent fraction with a denominator of (x + 4)(x - 4)(x + 3):
{{{(5(x + 3))/((x + 3)(x + 4)(x - 4))}}} - {{{(3(x + 4))/((x + 4)(x - 4)(x + 3))}}}
Distribute:
{{{(5x + 15)/((x + 3)(x + 4)(x - 4))}}} - {{{(3x + 12)/((x + 4)(x - 4)(x + 3))}}}
Combine like terms in the numerators:
{{{(2x + 3)/((x + 3)(x + 4)(x - 4))}}}