Let's simplify the expression:

\[
(2x^2 - 3x + 1) + (7x^2 + 10x + 8)
\]

First, combine the like terms:

- Combine \(2x^2\) and \(7x^2\): 
  \[
  2x^2 + 7x^2 = 9x^2
  \]

- Combine \(-3x\) and \(10x\): 
  \[
  -3x + 10x = 7x
  \]

- Combine the constants \(1\) and \(8\): 
  \[
  1 + 8 = 9
  \]

So, the simplified expression is:

\[
9x^2 + 7x + 9
\]

Would you like more details or have any questions?

---

Here are 5 related questions:
1. What is the degree of the polynomial \(9x^2 + 7x + 9\)?
2. How do you factor quadratic expressions like \(9x^2 + 7x + 9\)?
3. Can you solve the quadratic equation \(9x^2 + 7x + 9 = 0\)?
4. How do you graph the polynomial \(9x^2 + 7x + 9\)?
5. What are the applications of quadratic polynomials in real-life problems?

**Tip:** Always group and simplify like terms first when combining polynomials.

Learn how to simplify the polynomial expression (2x^2 − 3x + 1) + (7x^2 + 10x + 8) by combining like terms. This problem covers core algebraic concepts such as polynomials and simplifying expressions, making it suitable for students in Grades 8-10.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation