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Math·Advanced Math·Equivalent expressions

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Which of the following expressions is equivalent to $\frac{4}{x-5}-\frac{4}{(x-5{)}^2}$ for all $x>5$?

A

$\frac{0}{(x-5{)}^2}$

B

$\frac{4x-24}{(x-5{)}^2}$

C

$\frac{4x-16}{(x-5{)}^2}$

D

$\frac{4}{x-5}$