分解因式(x+y+z)³+(3x-2y-3z)³-(4x-y-2x)³,两解,最好两解,
来源:学生作业帮助网 编辑:作业帮 时间:2024/06/26 04:29:55
![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/1673731-19-1.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%2C%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,
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)