2√2a^3+8b^3-27c^3+18√2abc
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a^3 +b^3+c^3-3abc=(a+b+c)(a^2+b^2+c^2-ab-bc-ca
(√2a+2b-3c)(2a^2+4b^2+9c^2-2√2ab+6bc+3√2ac)
(√2a+2b-3c)(2a^2+4b^2+9c^2-2√2ab+6bc+3√2ac)
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