Question 580071
{{{(x+3)/(x-6) + (x^(2)+6x)/(x^(2)-36)}}}

x^2 - 36, difference of squares, factors into:

(x+6)(x-6)

LCD is (x+6)(x-6)

{{{(x+3)/(x-6)* (x+6)/(x+6)}}}  + {{{(x^2+6x/(x+6)(x-6))}}}

{{{(x^2 + 9x + 18  + x^2 + 6x) / (x+6)(x-6)}}}

{{{2x^2 + 15x + 18 / (x+6)(x-6)}}}   factor the top

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

(2x+3)/(x-6)