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# GRE Math Challenge #95- x^2 + 2x + 1 or x^2

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GRE Math Challenge #95- x^2 + 2x + 1 or x^2 [#permalink]  09 May 2015, 11:12
Expert's post
00:00

Difficulty:

5% (low)

Question Stats:

0% (00:00) correct 0% (00:00) wrong based on 0 sessions
Quantity A: x^2 + 2x + 1

Quantity B: x^2

• Quantity A is greater.
• Quantity B is greater.
• Both Quantities are Equal
• Cannot be determined
[Reveal] Spoiler: OA

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Re: GRE Math Challenge #95- x^2 + 2x + 1 or x^2 [#permalink]  07 Aug 2017, 08:14
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Expert's post
sandy wrote:
Quantity A: x^2 + 2x + 1

Quantity B: x^2

• Quantity A is greater.
• Quantity B is greater.
• Both Quantities are Equal
• Cannot be determined

Given:
Quantity A: x² + 2x + 1
Quantity B: x²

Subtract x² from both quantities to get:
Quantity A: 2x + 1
Quantity B: 0

Now let's test some values of x

Try x = 1
We get:
Quantity A: 2(1) + 1 = 3
Quantity B: 0
In this case, Quantity A is greater

Try x = -1
We get:
Quantity A: 2(-1) + 1 = -1
Quantity B: 0
In this case, Quantity B is greater

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Re: GRE Math Challenge #95- x^2 + 2x + 1 or x^2   [#permalink] 07 Aug 2017, 08:14
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