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\frac{1}{x+4}
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\frac{1}{x+4}
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\frac{2}{x+4}-\frac{x-4}{\left(x-4\right)\left(x+4\right)}
Factor the expressions that are not already factored in \frac{x-4}{x^{2}-16}.
\frac{2}{x+4}-\frac{1}{x+4}
Cancel out x-4 in both numerator and denominator.
\frac{1}{x+4}
Since \frac{2}{x+4} and \frac{1}{x+4} have the same denominator, subtract them by subtracting their numerators. Subtract 1 from 2 to get 1.
\frac{2}{x+4}-\frac{x-4}{\left(x-4\right)\left(x+4\right)}
Factor the expressions that are not already factored in \frac{x-4}{x^{2}-16}.
\frac{2}{x+4}-\frac{1}{x+4}
Cancel out x-4 in both numerator and denominator.
\frac{1}{x+4}
Since \frac{2}{x+4} and \frac{1}{x+4} have the same denominator, subtract them by subtracting their numerators. Subtract 1 from 2 to get 1.
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