If \(c\ne -5,\) then \(\dfrac{5ab+abc}{abc^2+10abc+25ab}\) is equivalent to which of the following?

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If \(c\ne -5,\) then \(\dfrac{5ab+abc}{abc^2+10abc+25ab}\) is equivalent to which of the following?

(A) \(\dfrac1{(c+5)^2}\)

(B) \(c+5\)

(C) \(\dfrac1{c+5}\)

(D) \(c-5\)

(E) \(\dfrac1{c-5}\)

Answer: C

Source: Manhattan GMAT