分解因式(x+y+z)³+(3x-2y-3z)³-(4x-y-2x)³,
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分解因式(x+y+z)³+(3x-2y-3z)³-(4x-y-2x)³,
两解,最好两解,
两解,最好两解,
最后一项应该是(4x-y-2z)³,且(x+y+z)+(3x-2y-3z)=4x-y-2z
(x+y+z)³+(3x-2y-3z)³-(4x-y-2x)³
=(x+y+z+3x-2y-3z)[(x+y+z)²-(x+y+z)(3x-2y-3z)+(3x-2y-3z)²]-(4x-y-2z)³
=(4x-y-2z)[(x+y+z)²-(x+y+z)(3x-2y-3z)+(3x-2y-3z)²-(4x-y-2z)²]
=-3(4x-y-2z)(x+y+z)(3x-2y-3z)
(x+y+z)³+(3x-2y-3z)³-(4x-y-2x)³
=(x+y+z+3x-2y-3z)[(x+y+z)²-(x+y+z)(3x-2y-3z)+(3x-2y-3z)²]-(4x-y-2z)³
=(4x-y-2z)[(x+y+z)²-(x+y+z)(3x-2y-3z)+(3x-2y-3z)²-(4x-y-2z)²]
=-3(4x-y-2z)(x+y+z)(3x-2y-3z)
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