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Math Expert
Joined: 02 Sep 2009
Posts: 47161

If xy = 7, what is xy(x + y)^2 ?
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10 Oct 2017, 00:50
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51% (00:45) correct 49% (00:43) wrong based on 35 sessions
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Intern
Joined: 10 Jul 2017
Posts: 30

Re: If xy = 7, what is xy(x + y)^2 ?
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10 Oct 2017, 01:31
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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