To simplify the expression \( (9x^2 - 6x + ) - (x^2 + 4x - 39) \), we first rewrite it clearly:
- Assume the first part \( 9x^2 - 6x + \) has no constant term (it's likely a typo and should be \( 9x^2 - 6x + 0 \)).
- Thus our expression becomes \( (9x^2 - 6x) - (x^2 + 4x - 39) \).
Now, let's distribute the negative sign:
\[ 9x^2 - 6x - (x^2 + 4x - 39) = 9x^2 - 6x - x^2 - 4x + 39 \]
Now, combine like terms:
- Combine \( 9x^2 - x^2 = 8x^2 \).
- Combine \( -6x - 4x = -10x \).
- The constant term is \( +39 \).
Putting it all together, we get:
\[ 8x^2 - 10x + 39 \]
So the simplified expression is:
\[ 8x^2 - 10x + 39 \]