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1971 AMC 12 Question 22

AMC12 · 1971 AMC 12

Question 22

If $w$ is one of the imaginary roots of $x^3=1,$ then $(1-w+w^2)(1+w-w^2)$ is equal to:
  1. $4$
  2. $w$
  3. $2$
  4. $w^2$
  5. $1$