Simplify the Rational Expression: (2x-1)/(16x²-8x) Step-by-Step

Let's simplify the given expression:

$\frac{2x-1}{16x^2-8x}$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 denominator we can factor out a common term, do this, then reduce the expressions possible in the fraction that we obtained:

$\frac{2x-1}{16x^2-8x} \\ \frac{2x-1}{8x(2x-1)} \\ \downarrow\\ \boxed{\frac{1}{8x}}$Therefore, the correct answer is answer C.