因式分解 3x^2-11xy+6y^2-xz-4yz-2z^2

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因式分解3x^2-11xy+6y^2-xz-4yz-2z^2因式分解3x^2-11xy+6y^2-xz-4yz-2z^2因式分解3x^2-11xy+6y^2-xz-4yz-2z^23x^2-11xy+

因式分解 3x^2-11xy+6y^2-xz-4yz-2z^2
因式分解 3x^2-11xy+6y^2-xz-4yz-2z^2

因式分解 3x^2-11xy+6y^2-xz-4yz-2z^2
3x^2-11xy+6y^2-xz-4yz-2z^2
=(3x^2-11xy+6y^2)+(2xz-6yz)-(3xz+2yz)-2z^2
=(3x-2y)(x-3y)+2z(x-3y)-z(3x-2y)-2z^2
=(x-3y)(3x-2y+2z)-z(3x-2y+2z)
=(3x-2y+2z)(x-3y-z)

3x^2-11xy+6y^2-xz-4yz-2z^2
=(3x^2-11xy+6y^2)+(2xz-6yz)-(3xz+2yz)-2z^2
=(3x-2y)(x-3y)+2z(x-3y)-z(3x-2y)-2z^2
=(x-3y)(3x-2y+2z)-z(3x-2y+2z)
=(3x-2y+2z)(x-3y-z)

3x^2-11xy+6y^2-xz-4yz-2z^2
=(3x^2-11xy+6y^2)+(2xz-6yz)-(3xz+2yz)-2z^2
=(3x-2y)(x-3y)+2z(x-3y)-z(3x-2y)-2z^2
=(x-3y)(3x-2y+2z)-z(3x-2y+2z)
=(3x-2y+2z)(x-3y-z)

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