https://file.aiquickdraw.com/mathbot/file/1733850459712tvcuki69.jpg

The given problem is as follows:

\[
y^2 + 5y - 3x^2 - 2y
\]

To simplify or combine like terms:

1. Group terms with \( y^2 \), \( x^2 \), and \( y \):
   - \( y^2 \) remains unchanged.
   - The term \( -3x^2 \) is also distinct.
   - Combine the \( y \)-terms: \( 5y - 2y = 3y \).

So, the simplified expression is:

\[
y^2 + 3y - 3x^2
\]

Let me know if you need further explanation or assistance! 😊 

---

### Related Questions:
1. How do you simplify expressions with more variables or higher powers?
2. What are the steps for factoring trinomials like \( y^2 + 3y - 3x^2 \)?
3. How does this relate to solving quadratic equations?
4. Can such expressions represent geometric shapes when graphed?
5. How do coefficients affect the graph of terms like \( -3x^2 \) or \( 3y \)?

### Tip:
Always group like terms first to simplify algebraic expressions effectively.

Solve the given expression: y^2 + 5y - 3x^2 - 2y

Learn how to simplify the expression y^2 + 5y - 3x^2 - 2y by combining like terms. This tutorial covers key algebraic concepts, making it perfect for middle school students in Grades 6-8.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation