Simplify. Write your answer using whole numbers and variables.

5

c

+

6

5

c

2

+

6

c

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Let's simplify the given expression:

\[
5c + \frac{6}{5}c^2 + 6c
\]

### Step 1: Combine like terms
The like terms in the expression are the terms with \(c\), which are \(5c\) and \(6c\).

\[
5c + 6c = 11c
\]

### Step 2: Write the simplified expression
Now, the expression becomes:

\[
11c + \frac{6}{5}c^2
\]

So, the simplified expression is:

\[
11c + \frac{6}{5}c^2
\]

Would you like further clarification or details on any of these steps?

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Here are some related questions to explore:

1. What are like terms, and how do you combine them in algebraic expressions?
2. How do you handle fractions in algebraic expressions?
3. Can we factor this expression? If so, how?
4. How would you simplify if there were additional terms with higher powers of \(c\)?
5. What is the role of coefficients in algebraic expressions?

**Tip**: When simplifying algebraic expressions, always combine like terms first to make the process easier.

Simplify. Write your answer using whole numbers and variables. 5c + 6/5c^2 + 6c

Learn how to simplify the algebraic expression 5c + 6/5c^2 + 6c by combining like terms. This solution explains the process of simplifying expressions and handling terms with variables. Suitable for students in Grades 7-9.

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