Simplify the Algebraic Fraction: (x²-24x)÷8x Step by Step

Simplify the following expression:

$\frac{x^2-24x}{8x}$

Let's simplify the given expression:

$\frac{x^2-24x}{8x}$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. First we must identify that in the numerator we can factor out a common term. Following this we will then proceed to reduce the possible expressions in the resulting fraction:

$\frac{x^2-24x}{8x} \\ \frac{x(x-24)}{8x} \\ \downarrow\\ \boxed{\frac{x-24}{8} }$Therefore, the correct answer is answer A.