sandy wrote:

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Column A: 4x² + 4y²

Column B: (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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Column A: 4x² + 4y²

Column B: (2x + 2y)²

Expand and simplify Column B to get:

Column A: 4x² + 4y²

Column B: 4x² + 8xy + 4y²

Now we'll use the strategy of performing the same operations on

both columnsSubtract 4x² and 4y² from both columns to get:

Column A: 0

Column B: 8xy

To make things super clear, let's divide both columns by 8 to get:

Column A: 0

Column B: xy

At this point, we can see that the answer is

To see why, consider these two possible cases:

case #1: x = 0 and y = 1, which means the two columns are

equalcase #2: x = 1 and y = 1, which means the two columns are

NOT equal

Cheers,

Brent

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Brent Hanneson – Creator of greenlighttestprep.com

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