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1959 AMC 12 Question 16

AMC12 · 1959 AMC 12

Question 16

The expression $$
\frac{x^2-3x+2}{x^2-5x+6}\div \frac{x^2-5x+4}{x^2-7x+12},
$$ when simplified, is:
  1. $\dfrac{(x-1)(x-6)}{(x-3)(x-4)}$
  2. $\dfrac{x+3}{x-3}$
  3. $\dfrac{x+1}{x-1}$
  4. $1$
  5. $2$