(3x^2+2x-3)-(x^2-2x+1)

would the answer be 2x^2+4x+4

or did I do something wrong

No, it would be 2x^2+4x-4

(3x^2+2x-3)-(x^2-2x+1) =

3x^2 + 2x -3 - x^2 +2x -1 =

3x^2 - x^2 + 2x + 2x -3 -1 =

2x^2 + 4x - 4

To simplify the given expression (3x^2 + 2x - 3) - (x^2 - 2x + 1), you need to distribute the negative sign to each term inside the parentheses.

Distributing the negative sign, the expression becomes:

3x^2 + 2x - 3 - x^2 + 2x - 1

Now, combine like terms:

(3x^2 - x^2) + (2x + 2x) + (-3 - 1)

Simplifying further:

2x^2 + 4x - 4

So, the correct answer is 2x^2 + 4x - 4.