Simplify. I did the work and i got the second answer. I'm not sure if its correct though.

  [ (x^2 + 2x -3)  / (x - 4)  ]  

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 [ (2x^2 + 5x - 3)  / ( x^2 - 16) ]

[ (x + 3) (x - 1) / (x -4) ]

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 [ (2x - 1) ( x + 3) ] /  [ (x - 4) (x + 4) ]

[ ( x + 3) ( x - 1) / (x - 4)   *  [ (x - 4) ( x + 4) ] / [ (2x -1) ( x + 3) ]

[ ( x + 3) ( x - 1) ( x - 4) ( x + 4) ]

__________________________  

[ ( x -4) (2x - 1) ( x + 3) ]

[ (x -1) ( x + 4) ]

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    2x  - 1

x^2  + 3x  - 4

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  2x  - 1