分解因式:-2X^(5n+1)Y^n+4X^(3n+1)Y^(n+2)-2X^(n+1)Y^(n+4)

来源:学生作业帮助网 编辑:六六作业网 时间:2024/12/27 01:36:27
分解因式:-2X^(5n+1)Y^n+4X^(3n+1)Y^(n+2)-2X^(n+1)Y^(n+4)分解因式:-2X^(5n+1)Y^n+4X^(3n+1)Y^(n+2)-2X^(n+1)Y^(n+

分解因式:-2X^(5n+1)Y^n+4X^(3n+1)Y^(n+2)-2X^(n+1)Y^(n+4)
分解因式:-2X^(5n+1)Y^n+4X^(3n+1)Y^(n+2)-2X^(n+1)Y^(n+4)

分解因式:-2X^(5n+1)Y^n+4X^(3n+1)Y^(n+2)-2X^(n+1)Y^(n+4)
上式等于-2X^(n+1)Y^n乘以(X^4n-2X^2nY^2+Y^4)
等于-2X^(n+1)Y^n(X^2n-Y^2)^2
等于-2X^(n+1)Y^n(X^n+Y)^2(X^n-Y)^2