Fourth Power Inequality

Show that $27 (a^{4} + b^{4} + c^{4}) > (a + b + c)^{4}$ .

~10 minProof · checked by AIInequalitiesPower Means

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

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