解：∵[(2x-1)/(x-3)*(x+5)]=[A/(x-3)]+[B/(x+5)]∴(2x-1)/[x-3)(x+5)]=[(A+B)x+(5A-3B)]/[(x-3)(x+5)]∴A+B=2，5A-3B=-1联立解之得：A=5/8，B=11/8
