Suppose x = a(b - c), y = b(c - a), z = c(a - b), then what is the value of (x/a)3 + (y/b)3 + (z/c)3?

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Suppose x = a(b - c), y = b(c - a), z = c(a - b), then what is the value of (x/a)<sup>3</sup> + (y/b)<sup>3</sup> + (z/c)<sup>3</sup>?