Question 1000611
Your spacings suggest the expression to be added is  {{{3/(x-3)+2/(x+5)}}}.


Use the same fractions concepts you were taught in elementary school. 

LCD is  {{{(x-3)(x+5)}}}.


{{{(3/(x-3))((x+5)/(x+5))+(2/(x+5))((x-3)/(x-3))}}}


{{{(3x-9)/((x-3)(x+5))+(2x-6)/((x-3)(x+5))}}}


{{{(3x-9+2x-6)/((x-3)(x+5))}}}


{{{(5x-15)/((x-3)(x+5))}}}


{{{(5(x-3))/((x-3)(x+5))}}}


{{{(5cross((x-3)))/(cross((x-3))(x+5))}}}