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AHSME 1950- the original problems

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July 17, 2008

Problem Statement

Reduced to lowest terms, \frac {a^2\minus{}b^2}{ab}\minus{} \frac {ab\minus{}b^2}{ab\minus{}a^2} is equal to:
<spanclass=′latex−bold′>(A)</span> ab<spanclass=′latex−bold′>(B)</span> a2−2b2ab<spanclass=′latex−bold′>(C)</span> a2<spanclass=′latex−bold′>(D)</span> a−2b<spanclass=′latex−bold′>(E)</span> None of these<span class='latex-bold'>(A)</span>\ \dfrac{a}{b} \qquad <span class='latex-bold'>(B)</span>\ \dfrac{a^2-2b^2}{ab} \qquad <span class='latex-bold'>(C)</span>\ a^2 \qquad <span class='latex-bold'>(D)</span>\ a-2b \qquad <span class='latex-bold'>(E)</span>\ \text{None of these}
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