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\frac{x+3}{\left(x-3\right)\left(x+3\right)}+\frac{2}{x-3}
Factor the expressions that are not already factored in \frac{x+3}{x^{2}-9}.
\frac{1}{x-3}+\frac{2}{x-3}
Cancel out x+3 in both numerator and denominator.
\frac{3}{x-3}
Since \frac{1}{x-3} and \frac{2}{x-3} have the same denominator, add them by adding their numerators. Add 1 and 2 to get 3.
\frac{x+3}{\left(x-3\right)\left(x+3\right)}+\frac{2}{x-3}
Factor the expressions that are not already factored in \frac{x+3}{x^{2}-9}.
\frac{1}{x-3}+\frac{2}{x-3}
Cancel out x+3 in both numerator and denominator.
\frac{3}{x-3}
Since \frac{1}{x-3} and \frac{2}{x-3} have the same denominator, add them by adding their numerators. Add 1 and 2 to get 3.