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# What is the value of x^2 + 2xy + y^2? 1) x + y = 7 2) x = 2

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What is the value of x^2 + 2xy + y^2? 1) x + y = 7 2) x = 2 [#permalink]  18 Apr 2006, 18:13
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What is the value of x^2 + 2xy + y^2?

1) x + y = 7
2) x = 2
Senior Manager
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[#permalink]  18 Apr 2006, 18:36
x^2 + 2xy + y^2= (x+y)^2

A) sufficient
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[#permalink]  18 Apr 2006, 18:36
x^2 + 2xy + y^2
can be factored as (x+y)^2

1)x + y = 7 so 7^2 = 49 sufficient

2)x = 2, tells us nothing of y.
INSUFFICIENT

Ans - A
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[#permalink]  18 Apr 2006, 21:52
its A.

1)x + y = 7 so 7^2 = 49 sufficient

2)x = 2, so the equation becomes a quadratic with y as variable.
y^2 + 4y + 4 => (y+2)(y+2) . Since we do not know y, we cannot find out the value of this equation. Insufficient.
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[#permalink]  18 Apr 2006, 22:30
Clear A for this one.
Second statement doesn't tell anything about y variable.
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[#permalink]  19 Apr 2006, 06:36
If this is an easy questions then its A
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[#permalink]  19 Apr 2006, 09:51
A
[#permalink] 19 Apr 2006, 09:51
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# What is the value of x^2 + 2xy + y^2? 1) x + y = 7 2) x = 2

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