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1975 AMC 12 Question 12

AMC12 · 1975 AMC 12

Question 12

If $a\ne b,$ $a^3-b^3=19x^3,$ and $a-b=x,$ which of the following conclusions is correct?
  1. $a=3x$
  2. $a=3x$ or $a=-2x$
  3. $a=-3x$ or $a=2x$
  4. $a=3x$ or $a=2x$
  5. $a=2x$