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\frac{3\left(z^{2}+7\right)z^{4}}{\left(z^{2}+4\right)\left(z^{2}+7\right)}
Factor the expressions that are not already factored.
\frac{3z^{4}}{z^{2}+4}
Cancel out z^{2}+7 in both numerator and denominator.
\frac{3\left(z^{2}+7\right)z^{4}}{\left(z^{2}+4\right)\left(z^{2}+7\right)}
Factor the expressions that are not already factored.
\frac{3z^{4}}{z^{2}+4}
Cancel out z^{2}+7 in both numerator and denominator.