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

Let's simplify the given expression:

$\frac{x^2-15x}{3x}$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 factoring. First we must determine whether in the numerator we are able to factor out a common term. Following this we must then reduce the possible expressions in the resulting fraction:

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