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)](/uploads/image/z/20316073-49-3.jpg?t=24xy%5E2z%5E2%28x%2By%2Bz%29-32xyz%28z-x-y%29%5E2%2B8xyz%5E3%28z-x-y%29)
24x y^2 z^2 * (x+y-z) - 32xyz * (z-x-y) + 8xy z^3 * (z-x-y)
=24x y^2 z^2 * (x+y-z)+32xyz * (x+y-z) - 8xy z^3 * (x+y-z)
=(24x y^2 z^2+32xyz - 8xy z^3)(x+y-z)
=8yz(3yz+32-8z^2)(x+y-z)
=24x y^2 z^2 * (x+y-z)+32xyz * (x+y-z) - 8xy z^3 * (x+y-z)
=(24x y^2 z^2+32xyz - 8xy z^3)(x+y-z)
=8yz(3yz+32-8z^2)(x+y-z)
因式分解 (x+y+z)^2+yz(y+z)+xyz
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