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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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New post 18 Apr 2006, 19:13
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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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New post 18 Apr 2006, 19:36
x^2 + 2xy + y^2= (x+y)^2

A) sufficient
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New post 18 Apr 2006, 19:36
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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New post 18 Apr 2006, 22:52
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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New post 18 Apr 2006, 23:30
Clear A for this one.
Second statement doesn't tell anything about y variable.
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New post 19 Apr 2006, 07:36
If this is an easy questions then its A :)
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New post 19 Apr 2006, 10:51
A :wink:
  [#permalink] 19 Apr 2006, 10:51
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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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