Final answer:
To reduce the rational expression (54x)/(18x^(2)-6x), factor out the greatest common factor and cancel out the common factors to get 9/(3x - 1).
Step-by-step explanation:
To reduce the rational expression (54x)/(18x^(2)-6x), we can simplify the numerator and denominator separately. In the numerator, we have 54x. In the denominator, we have 18x^(2) - 6x. We can factor out the greatest common factor from each term in the denominator, which is 6x. Factoring out 6x gives us 6x(3x - 1). Now, we can cancel out the common factors of 6x from the numerator and denominator, leaving us with the simplified expression 9/(3x - 1).
Learn more about Simplifying rational expressions