The given expression is:

\[
5x + 2x^2 - 1 + 3x - 2y
\]

Let's simplify it by combining like terms:

1. Combine the terms involving \(x\):
   \[
   5x + 3x = 8x
   \]

2. The term involving \(x^2\) is \(2x^2\), which stays as it is.

3. The constant term is \(-1\).

4. The term involving \(y\) is \(-2y\).

Thus, the simplified expression is:

\[
2x^2 + 8x - 1 - 2y
\]

Would you like more details or have any further questions?

Here are five related questions for further practice:
1. What is the derivative of the expression with respect to \(x\)?
2. How would you factor \(2x^2 + 8x\)?
3. What happens if you set \(x = 1\) and \(y = 0\) in the expression?
4. How can you complete the square for the \(x\) terms?
5. What is the result when you substitute \(x = 2\) and \(y = -1\)?

**Tip**: Always start by combining like terms in expressions to simplify before further operations like factoring or solving.

Simplify the algebraic expression 5x + 2x^2 - 1 + 3x - 2y by combining like terms. This step-by-step solution covers core algebraic concepts like simplifying expressions and combining like terms. Suitable for students in Grades 7-9.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation