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Australian AMC 2023 - Senior Question 13

AMC AUSTRALIA · Australian AMC 2023 - Senior

Question 13

Assuming $a>b>0$, the expression $\frac{a^{-1}-b^{-1}}{a^{-2}-b^{-2}}$ can be written as
  1. $\frac{b-a}{ab}$
  2. $\frac{b+a}{ab}$
  3. $\frac{ab}{b+a}$
  4. $\frac{a^2-b^2}{a-b}$
  5. $a-b$