Simplify the Expression: (5x²-15x)/(x-3) Step-by-Step

Let's simplify the given expression:

$\frac{5x^2-15x}{x-3}$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. We must first identify that in the numerator we can factor out a common term, then we proceed to reduce the expressions in the obtained fraction (reduction sign):

$\frac{5x^2-15x}{x-3} \\ \frac{5x(x-3)}{x-3} \\ \downarrow\\ \boxed{5x}$Therefore, the correct answer is answer B.