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1958 AMC 12 Question 3

AMC12 · 1958 AMC 12

Question 3

Of the following expressions, the one equal to $\dfrac{a^{-1}b^{-1}}{a^{-3}-b^{-3}}$ is:
  1. $\dfrac{a^2b^2}{b^2-a^2}$
  2. $\dfrac{a^2b^2}{b^3-a^3}$
  3. $\dfrac{ab}{b^3-a^3}$
  4. $\dfrac{a^3-b^3}{ab}$
  5. $\dfrac{a^2b^2}{a-b}$