## Multiple Of Six Difference

#### Problem

Given that $x$ and $y$ are integer, prove that the difference between the expressions $x^3 + y$ and $x + y^3$ is a multiple of six.

Problem ID: 330 (13 Jul 2007) Difficulty: 3 Star

Given that $x$ and $y$ are integer, prove that the difference between the expressions $x^3 + y$ and $x + y^3$ is a multiple of six.

Problem ID: 330 (13 Jul 2007) Difficulty: 3 Star