To simplify the expression \(15n^3 + n\), we need to factor it.

First, identify the common factor in both terms. Here, both terms have a common factor of \(n\):

\[
15n^3 + n = n(15n^2) + n(1)
\]

Now, factor out \(n\):

\[
15n^3 + n = n(15n^2 + 1)
\]

Thus, the simplified form of the expression is:

\[
n(15n^2 + 1)
\]

Would you like more details or have any questions about this process?

Here are some related questions for further practice:
1. How would you factor \(20n^3 + 5n\)?
2. What is the greatest common factor of \(12n^4 + 3n\)?
3. How do you factor \(18n^2 + 6n\)?
4. Can you simplify \(10n^3 + 2n\)?
5. How would you factor \(25n^4 + 5n\)?
6. What is the simplified form of \(8n^5 + 4n\)?
7. How do you factor \(14n^3 + 7n\)?
8. What is the common factor in the expression \(30n^4 + 10n\)?

**Tip:** Always check each term in the expression to find the greatest common factor (GCF) before factoring it out. This simplifies the expression and makes further operations easier.

Discover how to simplify the expression 15n^3 + n step-by-step. This problem involves factoring polynomials, a fundamental algebraic concept. Suitable for high school students, this guide includes related practice problems for thorough understanding.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation