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1960 AMC 12 Question 9

AMC12 · 1960 AMC 12

Question 9

The fraction $$
\frac{a^2+b^2-c^2+2ab}{a^2+c^2-b^2+2ac}
$$ is (with suitable restrictions on the values of $a,$ $b,$ and $c$):
  1. irreducible
  2. reducible to $-1$
  3. reducible to a polynomial of three terms
  4. reducible to $\dfrac{a-b+c}{a+b-c}$
  5. reducible to $\dfrac{a+b-c}{a-b+c}$