Prove inequality $(x^3+2y^3+16\sqrt2)^4 \le 81(x^4+y^4+16)^3$

by Roman83   Last Updated July 12, 2019 06:20 AM

Prove inequality $$(x^3+2y^3+16\sqrt2)^4 \le 81(x^4+y^4+16)^3$$

My work

$$(x^3+y^3+y^3+(2\sqrt2)^3)^4 \le 3^4(x^4+y^4+2^4)^3$$

Any hints?

Tags : inequality


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