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1964 AMC 12 Question 4

AMC12 · 1964 AMC 12

Question 4

The expression

$$
\frac{P+Q}{P-Q}-\frac{P-Q}{P+Q},
$$

where $P=x+y$ and $Q=x-y,$ is equivalent to:
  1. $\dfrac{x^2-y^2}{xy}$
  2. $\dfrac{x^2-y^2}{2xy}$
  3. $1$
  4. $\dfrac{x^2+y^2}{xy}$
  5. $\dfrac{x^2+y^2}{2xy}$