# SOLUTION: 3/(4c+2)-(c-4)/(2c^2+c)-5/6c

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 Click here to see ALL problems on Rational-functions Question 74213: 3/(4c+2)-(c-4)/(2c^2+c)-5/6cAnswer by rmromero(383)   (Show Source): You can put this solution on YOUR website!``` 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 ```