y+(y+2)/(y+1)=10/3怎么化成a+1/a的形式?

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y+(y+2)/(y+1)=10/3怎么化成a+1/a的形式?
y+(y+2)/(y+1)=10/3怎么化成a+1/a的形式?

y+(y+2)/(y+1)=10/3怎么化成a+1/a的形式?
y+(y+2)/(y+1)
=y+[(y+1)+1]/(y+1)
=y+(y+1)/(y+1)+1/(y+1)
=(y+1)+1/(y+1)
=3+1/3
=10/3