已知(x+8)/(x-1)(x+2)=A/(x-1)+B/(x+2),求A,B的值

来源:学生作业帮助网 编辑:作业帮 时间:2024/10/04 15:13:12
已知(x+8)/(x-1)(x+2)=A/(x-1)+B/(x+2),求A,B的值
x){}KжxS5BF@#BPI.lcY-O$S,;Ɏ%/|sƓK545*54v(j8j;iVhk9:i*<*`~qAbȽ

已知(x+8)/(x-1)(x+2)=A/(x-1)+B/(x+2),求A,B的值
已知(x+8)/(x-1)(x+2)=A/(x-1)+B/(x+2),求A,B的值

已知(x+8)/(x-1)(x+2)=A/(x-1)+B/(x+2),求A,B的值
两边乘以(x-1)(x+2)得 x+8=A(x+2)+B(x-1) =(A+B)x+(2A-B) ∴A+B=1 2A-B=8 ∴A=3 B=-2