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xy>0 [#permalink] New post   09 Jan 2023, 10:28
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Question Stats:

70% (01:10) correct 30% (00:35) wrong based on 10 sessions

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\(xy>0\)


Quantity A
Quantity B
\([x+y]^2\)
\( [x-y]^2\)



A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
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A
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Re: xy>0 [#permalink] New post   15 Jan 2023, 07:38
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xy>0 means that both x and y are positive or negative. Moreover, they could be integers or fractions. Testing numbers here is time consuming

Work conceptually. expand the equation

x^2+2xy+y^2

x^2-2xy+y^^2

manipulate

A is 2xy

B is -2xy

Regardless the value of xy, A will be always positive and B always negative

A > B
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gmatclubot
Re: xy>0 [#permalink]
15 Jan 2023, 07:38
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