implify (9x2−6x+2)−(x2+4x−39)

To simplify the expression \( (9x^2 - 6x + 2) - (x^2 + 4x - 39) \), you can follow these steps:

1. Distribute the negative sign across the second parenthesis:

\[
9x^2 - 6x + 2 - x^2 - 4x + 39
\]

2. Combine like terms:

- For \(x^2\) terms: \(9x^2 - x^2 = 8x^2\)
- For \(x\) terms: \(-6x - 4x = -10x\)
- For constant terms: \(2 + 39 = 41\)

So, combining all the terms gives:

\[
8x^2 - 10x + 41
\]

Thus, the simplified expression is:

\[
\boxed{8x^2 - 10x + 41}
\]