一道分式计算题,计算;(a的平方/a+1)-a+1快

问题描述:

一道分式计算题,
计算;(a的平方/a+1)-a+1

答案:a²/(a+1)-a+1
=a²/(a+1)-(a-1)
=a²/(a+1)-(a-1)(a+1)/(a+1)
=a²/(a+1)-(a²-1)/(a+1)
=(a²-a²+1)/(a+1)
=1/(a+1)

a²/(a+1)-a+1=(a²-a²-a+a+1)/(a+1)=1/(a+1)。

a²/(a+1)-a+1
=a²/(a+1)-(a-1)
=a²/(a+1)-(a-1)(a+1)/(a+1)
=a²/(a+1)-(a²-1)/(a+1)
=(a²-a²+1)/(a+1)
=1/(a+1)