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,
(x+y+z)³+(3x-2y-3z)³-(4x-y-2z)³
=(x+y+z)³+[(3x-2y-3z)-(4x-y-2z)][(3x-2y-3z)²+(3x-2y-3z)(4x-y-2z)+(4x-y-2z)²]
=(x+y+z)³-(x+y+z)[(3x-2y-3z)²+(3x-2y-3z)(4x-y-2z)+(4x-y-2z)²]
=(x+y+z)[(x+y+z)²-(3x-2y-3z)²-(3x-2y-3z)(4x-y-2z)-(4x-y-2z)²]
再问: 好像还能在分解。。。
=(x+y+z)³+[(3x-2y-3z)-(4x-y-2z)][(3x-2y-3z)²+(3x-2y-3z)(4x-y-2z)+(4x-y-2z)²]
=(x+y+z)³-(x+y+z)[(3x-2y-3z)²+(3x-2y-3z)(4x-y-2z)+(4x-y-2z)²]
=(x+y+z)[(x+y+z)²-(3x-2y-3z)²-(3x-2y-3z)(4x-y-2z)-(4x-y-2z)²]
再问: 好像还能在分解。。。
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