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GRE Quantitative Reasoning QUESTION #8107
Question 1

Compare the two quantities below.

Column A: $(x-1)(x)(x+1)$

Column B: $(x)(x)(x)$

  • Column A is greater
  • Column B is greater
  • The two quantities are equal
  • The relationship cannot be determined from the information given✔️
Correct Answer Explanation

Column A: $(x-1)(x)(x+1) = x(x^2-1) = x^3 - x$

Column B: $x \cdot x \cdot x = x^3$

Difference: B $-$ A $= x^3 - (x^3 - x) = x$.

  • If $x > 0$: Column B is greater
  • If $x = 0$: both equal 0 (equal)
  • If $x < 0$: Column A is greater

Since no restriction is placed on $x$, the relationship cannot be determined from the information given.