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

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

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We have
`2sqrt(2)a^3+8b^3-27c^3+18 sqrt(2)abc`
`=(sqrt(2)a) ^3+(2b)^3+(-3c)^3-3xx (sqrt(2)a)xx(2b)xx(-3c)`
`=x^3+y^3+z^3-3xyz, " where " sqrt(2)a=x, (2b)=y and (-3c)=z`
`=(x+y+z)(x^2+y^2+z^2-xy-yz-zx)`
`=(sqrt(2)a+2b-3c)(2a^2+4b^2+9c^2-2sqrt(2)ab+6bc+3sqrt(2)ca)`.
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