Symmetric Inequality

Prove that $a^{3} b + a b^{3} < a^{4} + b^{4}$ for positive $a$ and $b$ where $a \neq = b$ .

~5 minProof · checked by AIInequalitiesRearrangement Inequality

H. S. Hall & S. R. Knight, Higher Algebra (1891) · Ch. XIX. Inequalities, Examples XIX.a, No. 9

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