Let E = x^{2017} + y^{2017} + z^{2017} - 2017 | vedclass

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(B) By the Arithmetic Mean-Geometric Mean $(AM \geq GM)$ inequality,for non-negative real numbers $x, y, z$:$\frac{x^{2017} + y^{2017} + z^{2017} + \u

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$-2014$

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(B) By the Arithmetic Mean-Geometric Mean $(AM \geq GM)$ inequality,for non-negative real numbers $x, y, z$:$\frac{x^{2017} + y^{2017} + z^{2017} + \underbrace{1 + 1 + \dots + 1}_{2014 	ext{ times}}}{2017} \geq \sqrt[2017]{x^{2017} \cdot y^{2017} \cdot z^{2017} \cdot 1^{2014}}$$\frac{x^{2017} + y^{2017} + z^{2017} + 2014}{2017} \geq xyz$$x^{2017} + y^{2017} + z^{2017} + 2014 \geq 2017xyz$$x^{2017} + y^{2017} + z^{2017} - 2017xyz \geq -2014$Thus,$E \geq -2014$.The equality holds when $x = y = z = 1$.

Let $E = x^{2017} + y^{2017} + z^{2017} - 2017xyz$ (where $x, y, z \geq 0$),then the least value of $E$ is

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