Combine like terms:

-3x2 + 2x – 4x2 – 9 + 6x – 2x2 + 8

-3x^2 + 2x – 4x^2 – 9 + 6x – 2x^2 + 8

"Combining like terms" means adding up the terms that contain x^2, x and just constants separately. Then write the result as __x^2 + __x + (constant)

In this problem, the constants add up to 8-9 = -1. You do the others.

To combine like terms, we need to add or subtract the coefficients of the same variables raised to the same power. Let's simplify the expression step by step:

-3x^2 + 2x - 4x^2 - 9 + 6x - 2x^2 + 8

First, let's group the terms with the same variable raised to the same power:

(-3x^2 - 4x^2 - 2x^2) + (2x + 6x) - 9 + 8

Now, let's combine the coefficients:

(-3 - 4 - 2)x^2 + (2 + 6)x - 9 + 8

-9x^2 + 8x - 1

So, the simplified expression is -9x^2 + 8x - 1.