Question 74213
<pre>
          3         (c-4)       5
        ______ -  __________ - ____
        4c + 2     2c^2 + c     6c  

Factor the denominator

          3          c - 4       5
        _______ -  __________ - ____
        2(2c+1)      c(2c+1)     6c  


Find LCD = 6c(2c+1)

            3     6c(2c+1)       c - 4       6c(2c+1)    5     6c(2c+1)
        _______ * ________  -  __________ * _________ - ____ * _________
        2(2c+1)   6c(2c+1)       c(2c+1)     6c(2c+1)    6c    6c(2c+1)


              3c(3)         6(c-4)        5(2c+1)
            _________  -  _________  -  ___________  
             6c(2c+1)      6c(2c+1)      6c(2c+1)


                9c          6c-24         10c+5
            _________  -  _________  -  ___________  
             6c(2c+1)      6c(2c+1)      6c(2c+1)


                9c          -6c+24        -10c-5
            _________  +  _________  +  ___________  
             6c(2c+1)      6c(2c+1)      6c(2c+1)


             9c - 6c + 24 - 10c - 5
            _________________________  
                     6c(2c+1)  


                 -7c + 19
               _____________
                  6c(2c+1)  


                 -7c + 19
               _____________
                  12c^2+6c