Answer :

Given the expression [tex]\(4ax + x^3\)[/tex], let's analyze it step-by-step.

1. Understanding the Expression:

The expression we are given is [tex]\(4ax + x^3\)[/tex].

2. Identifying the Terms:

The expression has two terms:
- The first term is [tex]\(4ax\)[/tex], where [tex]\(4a\)[/tex] is a constant coefficient and [tex]\(x\)[/tex] is the variable.
- The second term is [tex]\(x^3\)[/tex], which is a cubic term with [tex]\(x\)[/tex] raised to the power of 3.

3. Structure of the Expression:

Let's break down the structure:
- [tex]\(4ax\)[/tex]: This term is linear in terms of [tex]\(x\)[/tex] and scaled by the constant coefficient [tex]\(4a\)[/tex].
- [tex]\(x^3\)[/tex]: This term is non-linear (specifically cubic) with respect to [tex]\(x\)[/tex].

4. Overall Expression:

Combining these terms together, the complete expression is [tex]\(4ax + x^3\)[/tex].

Therefore, the detailed solution for the given expression is [tex]\(4ax + x^3\)[/tex].