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\frac{-6x^{3}-9}{3x^{2}}
To find the opposite of 6x^{3}+9, find the opposite of each term.
\frac{3\left(-2x^{3}-3\right)}{3x^{2}}
Factor the expressions that are not already factored.
\frac{-2x^{3}-3}{x^{2}}
Cancel out 3 in both numerator and denominator.
\frac{-6x^{3}-9}{3x^{2}}
To find the opposite of 6x^{3}+9, find the opposite of each term.
\frac{3\left(-2x^{3}-3\right)}{3x^{2}}
Factor the expressions that are not already factored.
\frac{-2x^{3}-3}{x^{2}}
Cancel out 3 in both numerator and denominator.