Could you tell me if the answer to this rational expression 3/x +5/x-4 is 3(x-4)+5x/x(x-4)



No.

        3         5

      _____  +  _____

        x       x - 4



Multiply both terms by the LCD x(x-4)



        3         5

x(x-4)_____  +  _____ x(x-4)

        x       x - 4



      3(x-4)       5x

     ________ + ________

      x(x-4)     x(x-4)



Simplify



       3x -12        5x

      _______  +  ________

       x(x-4)     x(x - 4)



      3x - 12 + 5x 

     ______________

        x (x-4)



         8x - 12       4(x-3)

        _________  = __________

         x (x-4)       x(x-4)







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