The expression given is \( 7c^9 - 873c^6 \).

This expression cannot be simplified further because there are no common factors in both terms, aside from the variable \( c \) itself. However, if you wanted to factor out the greatest common factor (GCF), you could proceed as follows:

### Factoring Out the Greatest Common Factor (GCF)

1. **Identify the GCF of the coefficients**: The coefficients are 7 and 873. Since 7 does not divide 873, the GCF of the coefficients is 1.

2. **Identify the GCF of the variable parts**: The powers of \( c \) in the two terms are \( c^9 \) and \( c^6 \). The GCF of these is \( c^6 \).

3. **Factor out the GCF**:
   \[
   7c^9 - 873c^6 = c^6(7c^3 - 873)
   \]

So, the factored form of the expression is:
\[
c^6(7c^3 - 873)
\]

Would you like more details on this, or do you have any other questions?

### Related Questions:

1. What is the process to factor polynomials with more than two terms?
2. How do you find the GCF of two algebraic expressions?
3. Can the expression \(7c^9 - 873c^6\) be factored further if additional constraints are given?
4. How does factoring help in solving equations?
5. What are the applications of factoring in real-life problems?
6. How do you recognize the type of factoring needed in a given polynomial?
7. What happens if you divide the original expression by a factor of \(c^6\)?
8. How does the power of a variable affect the GCF in polynomial expressions?

#### Tip:
When factoring polynomials, always start by identifying the greatest common factor (GCF) before trying more complex methods like grouping or special formulas.

Learn how to factor the expression 7c^9 - 873c^6 with a detailed step-by-step guide. Understand the process of factoring polynomials involving variables and coefficients. Suitable for high school students and those preparing for advanced algebra exams.

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