SOLUTION: how do you simplify x-1/x^2+2x+1(.)x^2-1/(x-1)^2

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Question 243102: how do you simplify
x-1/x^2+2x+1(.)x^2-1/(x-1)^2

Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!
Start with the given expression.


Factor to get .


Factor to get .


Factor to get .


Expand to get .


Combine the fractions.


Highlight the common terms.


Cancel out the common terms.


Simplify.


So simplifies to .


In other words,

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