Simplify the Rational Expression: (18x²-9x)/(2x-1)

Let's simplify the given expression:

$\frac{18x^2-9x}{2x-1}$Remember that we can reduce complete expressions only when both the numerator and denominator are completely factored into multiplication expressions,

For this, we'll use factorization, identify that in the numerator we can factor out a common term, do this, then reduce the expressions possible in the resulting fraction:

$\frac{18x^2-9x}{2x-1} \\ \frac{18x(2x-1)}{2x-1} \\ \downarrow\\ \boxed{18x}$Therefore, the correct answer is answer B.