若4x-1/(x+2)(x-1)=m/(x+2)+x/(x-1)则m等于

问题描述:

若4x-1/(x+2)(x-1)=m/(x+2)+x/(x-1)则m等于

4x-1/(x+2)(x-1)=m/(x+2)+x/(x-1)
(4x-1)/(x+2)(x-1)=(mx-m+x²+2x)/(x+2)(x-1)
(4x-1)/(x+2)(x-1)=[x(m-2)+x²-m]/(x+2)(x-1)
∴m-2=4
m=6