It seems like you're asking to simplify or work with the expression:

\[
2x + \frac{10}{2x^2} + 7x + 5
\]

### Step-by-step Simplification:
1. First, simplify the fraction \( \frac{10}{2x^2} \), which becomes:
   \[
   \frac{10}{2x^2} = \frac{5}{x^2}
   \]

2. Now rewrite the entire expression:
   \[
   2x + \frac{5}{x^2} + 7x + 5
   \]

3. Combine the like terms \( 2x \) and \( 7x \):
   \[
   (2x + 7x) + \frac{5}{x^2} + 5 = 9x + \frac{5}{x^2} + 5
   \]

### Final simplified expression:
\[
9x + \frac{5}{x^2} + 5
\]

Let me know if you'd like further details on solving or factoring this, or if you have any specific questions!

---

Here are 5 related questions for further exploration:
1. How do you solve a quadratic equation like \( ax^2 + bx + c = 0 \)?
2. What is the difference between simplifying and factoring expressions?
3. How do you handle polynomials with higher degrees (e.g., \( x^3 \))?
4. Can you explain how to deal with fractional terms in algebraic expressions?
5. How do you find the derivative of an expression like \( 9x + \frac{5}{x^2} + 5 \)?

**Tip:** When simplifying expressions, always look for like terms and fractions that can be reduced!

Learn how to simplify the algebraic expression 2x + 10/2x² + 7x + 5. This problem involves combining like terms and simplifying rational expressions. Suitable for students in Grades 9-11.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation