化简2/a+1减a-2/a^2-1除于a^2-2a/a^2-2a+1

来源:学生作业帮助网 编辑:六六作业网 时间:2024/11/18 07:24:57
化简2/a+1减a-2/a^2-1除于a^2-2a/a^2-2a+1化简2/a+1减a-2/a^2-1除于a^2-2a/a^2-2a+1化简2/a+1减a-2/a^2-1除于a^2-2a/a^2-2a

化简2/a+1减a-2/a^2-1除于a^2-2a/a^2-2a+1
化简2/a+1减a-2/a^2-1除于a^2-2a/a^2-2a+1

化简2/a+1减a-2/a^2-1除于a^2-2a/a^2-2a+1
2/a+1-a-2/a^2-1
={2(a-1)-a+2}/(a+1)(a-1)
=a/(a-1)(a+1)
a^2-2a/a^2-2a+1
=a(a-1)/(a-1)^2
=a/(a-1)
所以原式=a/(a-1)(a+1)÷a/(a-1)=1/(a+1)