Cubic variables inequality first part

Shew that $(x + y + z)^{3} > 27 (y + z - x) (z + x - y) (x + y - z)$ .

~10 minProof · checked by AIInequalitiesAM-GM inequality

H. S. Hall & S. R. Knight, Higher Algebra (1891) · Ch. XIX. Inequalities, Examples XIX.a, No. 21 (part 1)

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