https://file.aiquickdraw.com/mathbot/file/1725986537407kzgebvwx.jpg

The expression in the image is:

\[
(2x^2 - 6x) - (-2x^2 + 3x)
\]

Let's simplify this step by step.

1. Distribute the negative sign across the second parentheses:
\[
(2x^2 - 6x) - (-2x^2 + 3x) = 2x^2 - 6x + 2x^2 - 3x
\]

2. Combine like terms:
   - For \(x^2\) terms: \(2x^2 + 2x^2 = 4x^2\)
   - For \(x\) terms: \(-6x - 3x = -9x\)

So the simplified expression is:

\[
4x^2 - 9x
\]

Would you like further details or have any questions?

Here are 5 related questions:
1. How do you factor the expression \(4x^2 - 9x\)?
2. What are like terms in algebraic expressions?
3. How does the distributive property work with negative signs?
4. What happens if the equation also had a constant term?
5. Can this quadratic expression be solved for \(x\)?

**Tip:** Always combine like terms carefully to avoid mistakes when simplifying expressions.

Learn how to simplify the polynomial expression (2x^2 - 6x) - (-2x^2 + 3x). This example demonstrates the use of the distributive property and combining like terms. Suitable for students in Grades 8-10.

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