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Which is greater (x+y)^-2xy or x^2+y^2
[#permalink]
30 Jan 2020, 03:01
30 Jan 2020, 03:01
1
Expert Reply
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Question Stats:
76% (00:26) correct
23% (00:35) wrong based on 67 sessions
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Quantity A |
Quantity B |
\((x+y)^2-2xy\) |
\(x^2+y^2\) |
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.
Kudos for the right answer and explanation
_________________
Re: Which is greater (x+y)^-2xy or x^2+y^2
[#permalink]
30 Jan 2020, 07:13
30 Jan 2020, 07:13
1
Carcass wrote:
Quantity A |
Quantity B |
\((x+y)^2-2xy\) |
\(x^2+y^2\) |
Given:
Quantity A: \((x+y)^2-2xy\)
Quantity B: \(x^2+y^2\)
Expand and simplify \((x+y)^2\) in Quantity A to get:
Quantity A: \(x^2+2xy+y^2-2xy\)
Quantity B: \(x^2+y^2\)
Simplify Quantity A to get:
Quantity A: \(x^2+y^2\)
Quantity B: \(x^2+y^2\)
Answer: C
Cheers,
Brent
_________________
Re: Which is greater (x+y)^-2xy or x^2+y^2
[#permalink]
18 May 2023, 08:46
18 May 2023, 08:46
1
A
(x+y)^2 -2xy
x^2+2xy+y^2-2xy
= x62+y^2
B
x^2+y^2
both are same
answer is c
(x+y)^2 -2xy
x^2+2xy+y^2-2xy
= x62+y^2
B
x^2+y^2
both are same
answer is c
gmatclubot
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