$x,y$ are positive integers. Find the number of even factors of $4x^2.$

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Vincen: Legendary Member; Posts: 2898; Joined: Thu Sep 07, 2017 2:49 pm; Thanked: 6 times; Followed by:5 members

$x,y$ are positive integers. Find the number of even factors of $4x^2.$

by Vincen » Wed Feb 23, 2022 3:51 am

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$x,y$ are positive integers. Find the number of even factors of $4x^2.$

I. $x^3-y^3+3xy$ is odd and $x$ is a prime.
II. $x^{x+y}\cdot y^{3x}+x^{3y}$ is odd.

Answer: C

Source: e-GMAT

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