计算：(m-1⼀m^2+3m+2)-(6⼀m^2-m-2)

通分：x-2/4x^2-4x，x-1/x^2-2x，1/x^3-3x^2+2x...

2026年09月23日 10:50

有2个网友回答

网友（1）：

1、原式=(m-1)/(m+1)(m+2)-6/(m-2)(m+1)=[(m-1)(m-2)-6(m+2)]/(m+2)(m-2)(m+1)=[(m^2-3m+2)-6m-12]/(m+2)(m-2)(m+1)=(m^2-9m-10)/(m+2)(m-2)(m+1)=(m-10)(m+1)/(m+2)(m-2)(m+1)=(m-10)/(m+2)(m-2)
2、公分母为4x(x-1)(x-2)

网友（2）：

(m-1)/(m^2+3m+2)-6/(m^2-m-2)

=(m-1)/(m+1)(m+2)-6/(m+1)(m-2)
=(m-1)(m-2)/(m+1)(m+2)(m-2) -6(m+2)/(m+1)(m+2)(m-2)
=(m^2-3m+2-6m-12)/(m+1)(m+2)(m-2)
=(m^2-9m-10)/(m+1)(m+2)(m-2)
=(m+1)(m-10)/(m+1)(m+2)(m-2)
=(m-10)/(m+2)(m-2)
=(m-10)/(m^2-4)