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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: $(x)(x)(x)$
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.
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