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

Question

Simplify the following expression:

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

Video Solution

Solution Steps

00:00 Simply

00:04 Let's break down the exponent into multiples

00:12 Let's mark the common factors

00:26 Let's take out the common factors from the parentheses

00:35 Let's reduce what we can

00:42 And this is the solution to the question

Step-by-Step Solution

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.

Answer

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

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