\[(9{x}^{2}-8x-9)-(9{x}^{3}-9{x}^{2}-x-9)\]

1
Remove parentheses.
9x28x99x3+9x2+x+99{x}^{2}-8x-9-9{x}^{3}+9{x}^{2}+x+9

2
Collect like terms.
(9x2+9x2)+(8x+x)+(9+9)9x3(9{x}^{2}+9{x}^{2})+(-8x+x)+(-9+9)-9{x}^{3}

3
Simplify.
18x27x9x318{x}^{2}-7x-9{x}^{3}

Done

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