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If xy = 7, what is xy(x + y)^2 ?

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Kudos [?]: 135614 [1], given: 12705

If xy = 7, what is xy(x + y)^2 ? [#permalink]

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New post 09 Oct 2017, 23:50
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D
E

Difficulty:

  45% (medium)

Question Stats:

46% (00:41) correct 54% (00:39) wrong based on 26 sessions

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Kudos [?]: 135614 [1], given: 12705

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Joined: 09 Jul 2017
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Kudos [?]: 6 [0], given: 51

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Re: If xy = 7, what is xy(x + y)^2 ? [#permalink]

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New post 10 Oct 2017, 00:31
If xy = 7, what is xy(x + y)^2 ?

(1) x^2 + y^2 = 50
(2) x^2 = 1

xy(x + y)^2= xy(x^2 + y^2 + 2xy)

Statement 1: given x^2 + y^2 = 50.
Substitute given values to get the answer.
Sufficient.

Statement 2: x^2 = 1.
now given that xy=7.
x^2.y^2=49
y^2 = 49/ x^2 = 49/ 1 = 49.
Now, substitute all values in the equation to get the final result.
Sufficient.

Hence, the correct answer is D. Each statement alone is sufficient.

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Kudos [?]: 6 [0], given: 51

Re: If xy = 7, what is xy(x + y)^2 ?   [#permalink] 10 Oct 2017, 00:31
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If xy = 7, what is xy(x + y)^2 ?

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