Answer
$x+2$ (and $x\ne2$).
Work Step by Step
The product of a binomial sum and a binomial difference is: $(A+B)(A-B)=A^2-B^2$.
Hence here: $\frac{x^2-4}{x-2}=\frac{x^2-2^2}{x-2}=\frac{(x+2)(x-2)}{x-2}=x+2$ (and $x\ne2$).
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