Rewrite 8x² - 4x Using Basic Components: Step-by-Step Guide

To rewrite the expression $8x^2 - 4x$ using its basic components, we'll follow these steps:

• Step 1: Identify the greatest common factor of the terms.
• Step 2: Factor each term using the greatest common factor.

Let's go through each step:

Step 1: Recognize that both terms $8x^2$ and $4x$ contain $x$ as a common factor.
Moreover, the numerical coefficients 8 and 4 have a common factor of 4.

Step 2: Factor the expression:
- $8x^2$ can be expressed as $8 \cdot x \cdot x$.
- $4x$ can be written as $4 \cdot x$.

Bringing them together, we can rewrite the expression:

$8x^2 - 4x = 8 \cdot x \cdot x - 4 \cdot x$.

Thus, the solution to the problem is $8\cdot x\cdot x-4\cdot x$.