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(x-1) [#permalink] New post 14 May 2018, 12:22
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Question Stats:

94% (00:16) correct 5% (00:20) wrong based on 36 sessions
Quantity A
Quantity B
\((x-1)(x+1)\)
\(x^2\)


A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.
[Reveal] Spoiler: OA

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Re: (x-1) [#permalink] New post 15 May 2018, 08:52
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use foil to expand qty A
\(x^2 + x -x -1\)
or, \(x^2 - 1\)

subtract \(x^2\) from both sides, we are left with
qty A =-1
qty B = 0

option B
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Re: (x-1) [#permalink] New post 13 May 2020, 08:30
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We can solve this question using matching operations (my favorite Quantitative Comparison strategy)
Given:
Quantity A: \((x-1)(x+1)\)
Quantity B: \(x^2\)

Use FOIL to expand and simplify the left side:
Quantity A: \(x^2 - 1\)
Quantity B: \(x^2\)

Subtract \(x^2\) from both quantities to get:
Quantity A: \(-1\)
Quantity B: \(0\)

\(0 > -1\), so the correct answer is B

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Re: (x-1)   [#permalink] 13 May 2020, 08:30
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