Answered

Given that the original expression appears to be incomplete or incorrect, it needs to be clarified and corrected for coherence. Assuming the intent is to represent a function involving both a cubic term and a sine function, a plausible rewrite is:

Express the function:
[tex]\[ x^3 \sin(\alpha x) \][/tex]

(Note: [tex]\(\alpha\)[/tex] typically represents a constant coefficient in trigonometric functions.)



Answer :

GinnyAnswer
Let's go through the mathematical process to solve the given expression: [tex]\( x^3 \sin(\alpha x) \)[/tex].

1. Identify the terms:
- We have [tex]\( x^3 \)[/tex], which is a polynomial term.
- We also have [tex]\( \sin(\alpha x) \)[/tex], a trigonometric function where [tex]\( \alpha \)[/tex] is a constant.

2. Construct the expression:
- We are asked to multiply these two terms together.

3. Combine the terms:
- Multiplying [tex]\( x^3 \)[/tex] with [tex]\( \sin(\alpha x) \)[/tex], we get:
[tex]\[ x^3 \sin(\alpha x) \][/tex]

Thus, the detailed result of the expression [tex]\( x^3 \sin(\alpha x) \)[/tex] is:
[tex]\[ x^3 \sin(\alpha x) \][/tex]

This concludes the step-by-step construction and understanding of the given mathematical expression.