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Factorize: 8x^3+27 y^3-216 z^3+108 x y z...

Factorize: `8x^3+27 y^3-216 z^3+108 x y z`

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`=(2x)^3+(3y)^3+(-6z)^3-3(2x)(3y)(-6z)`
`=(2x+3y+(-6z))((2x)^2+(3y)^2+(-6z)^2-2x xx3y-3y(-6z)-(-6z)2x))`
`=(2x+3y-6z)(4x^2+9y^2+36z^2-6xy+18yz+12zx)`
`8x^3+27y^3-216z^3+108xyz=(2x+3y-6z)(4x^2+9y^2+36z^2-6xy+18yz+12zx)`
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