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-\frac{\left(x-4\right)\left(-x-2\right)}{\left(x-2\right)\left(-x-2\right)}
Factor the expressions that are not already factored in \frac{2x-x^{2}+8}{4-x^{2}}.
-\frac{x-4}{x-2}
Cancel out -x-2 in both numerator and denominator.
-\frac{\left(x-4\right)\left(-x-2\right)}{\left(x-2\right)\left(-x-2\right)}
Factor the expressions that are not already factored in \frac{2x-x^{2}+8}{4-x^{2}}.
-\frac{x-4}{x-2}
Cancel out -x-2 in both numerator and denominator.