x^3+9x^2-2x+6/x-6

To simplify the expression (x^3 + 9x^2 - 2x + 6)/(x - 6), you can use long division.

x^2 + 15x + 88
___________________________
x - 6 | x^3 + 9x^2 - 2x + 6

- (x^3 - 6x^2)
_______________
15x^2 - 2x
- (15x^2 - 90x)
________________
88x + 6
- (88x - 528)
_________________
534

Thus, the simplified expression is x^2 + 15x + 88 + (534/(x-6)).