若5x-4/(x-1)(2x-1)=A/x-1-B/2x-1,试求A,B的值
问题描述：
若5x-4/(x-1)(2x-1)=A/x-1-B/2x-1,试求A,B的值
答
5x-4/(x+1)(2x-1)=A/x-1-B/2x-1
5x-4/(x+1)(2x-1)=[A（2x-1）-B（x-1）]/(x+10（2x—1）5x-4=A（2x-1）-B（x-1）5x-4=(2A-B)x-A+B2A-B=5 -A+B=-4A=1,B=-3