作业帮化简：x+2分之x²+2x+1除以x-1分之x²-1-x+2分之x
来源：学生作业帮助网 编辑：作业帮 时间：2024/05/06 04:54:48
化简：x+2分之x²+2x+1除以x-1分之x²-1-x+2分之x
化简：x+2分之x²+2x+1除以x-1分之x²-1-x+2分之x
化简：x+2分之x²+2x+1除以x-1分之x²-1-x+2分之x
(x²+2x+1)/(x+2)÷(x²-1)/(x-1)-x/(x+2)
=(x+1)²/(x+2)÷[(x-1)(x+1)/(x-1)]-x/(x+2)
=(x+1)²/(x+2)÷[(x-1)(x+1)/(x-1)]-x/(x+2)
=(x+1)²/(x+2)÷(x+1)-x/(x+2)
=(x+1)²/(x+2)×1/(x+1)-x/(x+2)
=(x+1)/(x+2)-x/(x+2)
=(x+1-x)/(x+2)
=1/(x+2)