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4x^2 + 4y^2

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Carcass
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4x^2 + 4y^2 [#permalink] New post   09 May 2018, 10:03
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Quantity A
Quantity B
\(4x^2 + 4y^2\)
\(( 2x + 2y)^2\)

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.
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D
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GreenlightTestPrep
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Re: 4x^2 + 4y^2 [#permalink] New post   09 May 2018, 12:56
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Carcass wrote:
Quantity A
Quantity B
\(4x^2 + 4y^2\)
\((2x + 2y)^2\)

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.


Given:
Quantity A: 4x² + 4y²
Quantity B: (2x + 2y)²

Expand and simplify Quantity B:
Quantity A: 4x² + 4y²
Quantity B: 4x² + 8xy + 4y²

Subtract 4x² from both quantities:
Quantity A: 4y²
Quantity B: 8xy + 4y²

Subtract 4y² from both quantities:
Quantity A: 0
Quantity B: 8xy

At this point, we can see that the correct answer is D
If x = 0 and y = 0, then the two quantities are equal
If x = 1 and y = 1, then Quantity B is greater

Answer: D

Cheers,
Brent
Prep Club for GRE Bot
gmatclubot
Re: 4x^2 + 4y^2 [#permalink]
09 May 2018, 12:56
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