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.