https://file.aiquickdraw.com/mathbot/file/1726097917803ll8pujxl.jpg

The expression shown in the image is:

\[
3x^2 + 4x + 2 + 7x^2 + 4x - 1
\]

Let's simplify it by combining like terms:

1. Combine the \(x^2\) terms:
   \[
   3x^2 + 7x^2 = 10x^2
   \]

2. Combine the \(x\) terms:
   \[
   4x + 4x = 8x
   \]

3. Combine the constant terms:
   \[
   2 - 1 = 1
   \]

Thus, the simplified expression is:

\[
10x^2 + 8x + 1
\]

Would you like a detailed explanation or have any questions?

Here are 5 related questions to expand your understanding:

1. How would you factor the expression \(10x^2 + 8x + 1\)?
2. What are the roots of the quadratic equation \(10x^2 + 8x + 1 = 0\)?
3. How do you combine like terms in polynomials?
4. Can you explain the process for solving quadratic equations using the quadratic formula?
5. How would you solve \(10x^2 + 8x + 1\) by completing the square?

**Tip:** When simplifying expressions, always group similar terms (like powers of \(x\) or constants) together for clarity.

Simplify the expression 3x^2 + 4x + 2 + 7x^2 + 4x - 1

Learn how to simplify the quadratic expression 3x^2 + 4x + 2 + 7x^2 + 4x - 1 by combining like terms. This step-by-step solution covers essential algebraic concepts like polynomials and term simplification. Suitable for students in Grades 8-10.

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