# Equations and Functions #1

Calculus Level 4

There are two distinct real numbers, $$x$$ and $$y$$. For every real number $$z$$ that is equal to neither $$x$$ nor $$y$$, they satisfy:

$\frac{x^3+16}{x}=\frac{y^3+16}{y}\neq\frac{z^3+16}{z}.$

Find the value of $$(x-y)^2$$.

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