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\frac{\left(3x-2\right)\left(x^{2}-2\right)\left(x^{2}+4\right)}{x^{2}+4}
Factor the expressions that are not already factored.
\left(3x-2\right)\left(x^{2}-2\right)
Cancel out x^{2}+4 in both numerator and denominator.
3x^{3}-2x^{2}-6x+4
Expand the expression.
\frac{\left(3x-2\right)\left(x^{2}-2\right)\left(x^{2}+4\right)}{x^{2}+4}
Factor the expressions that are not already factored.
\left(3x-2\right)\left(x^{2}-2\right)
Cancel out x^{2}+4 in both numerator and denominator.
3x^{3}-2x^{2}-6x+4
Expand the expression.