(18x^3+12x^2-3x)/6x^2
To simplify the given expression, we can divide each term by the common factor of 6x^2:
(18x^3 + 12x^2 - 3x) / 6x^2
= (18x^3) / (6x^2) + (12x^2) / (6x^2) - (3x) / (6x^2)
= 3x^(3-2) + 2x^(2-2) - (1/2)x^(1-2)
= 3x + 2 - (1/2)x^(-1)
Therefore, the simplified expression is 3x + 2 - (1/2)x^(-1).