Answer
$\frac{-1}{(x-3)(x+h-3)}$
Work Step by Step
$\frac{\frac{1}{x+h-3}-\frac{1}{x-3}}{h}=\frac{x-3-(x+h-3)}{h(x-3)(x+h-3)}=\frac{-h}{h(x-3)(x+h-3)}=\frac{-1}{(x-3)(x+h-3)}$
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