To simplify the expression (x^3 + 9x^2 - 2x + 6)/(x - 6), you can use long division.
x^2 + 15x + 88
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x - 6 | x^3 + 9x^2 - 2x + 6
- (x^3 - 6x^2)
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15x^2 - 2x
- (15x^2 - 90x)
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88x + 6
- (88x - 528)
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534
Thus, the simplified expression is x^2 + 15x + 88 + (534/(x-6)).
x^3+9x^2-2x+6/x-6
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