24xy^2z^2(x+y+z)-32xyz(z-x-y)^2+8xyz^3(z-x-y)

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24xy^2z^2(x+y+z)-32xyz(z-x-y)^2+8xyz^3(z-x-y)

24xy^2z^2(x+y+z)-32xyz(z-x-y)^2+8xyz^3(z-x-y)
24xy^2z^2(x+y+z)-32xyz(z-x-y)^2+8xyz^3(z-x-y)

24xy^2z^2(x+y+z)-32xyz(z-x-y)^2+8xyz^3(z-x-y)
24xy²z²(x+y-z)-32xyz(z-x-y)²+8xyz²(z-x-y)
=-24xy²z²(z-x-y)-32xyz(z-x-y)²+8xyz²(z-x-y)
=8xyz(z-x-y)(-3yz-4z+4x+4y+2z)
=8xyz(z-x-y)(4x+4y-2z-3yz)