Answer
$-(x+9)$
Work Step by Step
$\frac{x^{2}-81}{9-x}=\frac{(x+9)(x-9)}{9-x}=\frac{(x+9)(x-9)}{-(x-9)}=\frac{x+9}{-1}\times\frac{x-9}{x-9}=-(x+9)\times1=-(x+9)$
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