分解因式(x+y+z)³+(3x-2y-3z)³-(4x-y-2x)³两解,最好两解,
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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,](/uploads/image/z/1673730-18-0.jpg?t=%E5%88%86%E8%A7%A3%E5%9B%A0%E5%BC%8F%EF%BC%88x%2By%2Bz%EF%BC%89%26%23179%3B%2B%EF%BC%883x-2y-3z%EF%BC%89%26%23179%3B-%EF%BC%884x-y-2x%EF%BC%89%26%23179%3B%E4%B8%A4%E8%A7%A3%2C%E6%9C%80%E5%A5%BD%E4%B8%A4%E8%A7%A3%2C)
分解因式(x+y+z)³+(3x-2y-3z)³-(4x-y-2x)³两解,最好两解,
分解因式(x+y+z)³+(3x-2y-3z)³-(4x-y-2x)³
两解,最好两解,
分解因式(x+y+z)³+(3x-2y-3z)³-(4x-y-2x)³两解,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]
设x+y+z=a,3x-2y-3z=b,那么4x-y-2z=a+b(题目肯定打错了)
a³+b³-(a+b)³
=a³+b³-(a³+b³+3a^2b+3ab^2)
=3ab(a+b)
=3(x+y+z)(3x-2y-3z)(4x-y-2z)没错,只要求分解因式我说错的是(4x-y-2x)...
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设x+y+z=a,3x-2y-3z=b,那么4x-y-2z=a+b(题目肯定打错了)
a³+b³-(a+b)³
=a³+b³-(a³+b³+3a^2b+3ab^2)
=3ab(a+b)
=3(x+y+z)(3x-2y-3z)(4x-y-2z)
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