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Factorize : `2sqrt(2)a^3+8b^3-27 c^3+18sqrt(2)a b c`

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Factorize : `2sqrt(2)a^3+8b^3-27 c^3+18sqrt(2)a b c`
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Best answer
`2sqrt2a^3+8b^3-27b^3-27c^3+18sqrt2`
After factorization
`(sqrt2+2b-3c)(2a^2+4b^2+9c^2-4sqrt2ab+6bc+3sqrt2ac)`.
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