(3x-1)/((1-x +x^(2))(2+x))=...

`(3x-1)/((1-x +x^(2))(2+x))=`

`(x)/(x^(2) -x+1) + (1)/(x+2)`

`(1)/(x^(2)-x+1) + (x)/(x+2)`

`(x)/(x^(2)-x+1) -(1)/(x+2)`

`(-1)/(x^(2) -x+1) + (x)/(x+2)`

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