Answer
$\dfrac{1}{x+2}$
Work Step by Step
Factor the denominator to obtain:
$=\dfrac{x-2}{(x-2)(x+2)}$
Cancel the common factor to obtain:
$\require{cancel}
=\dfrac{\cancel{x-2}}{\cancel{(x-2)}(x+2)}
\\=\dfrac{1}{x+2}$
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