Evaluate
\frac{z\left(5z-6\right)}{z^{3}+4}
Expand
\frac{5z^{2}-6z}{z^{3}+4}
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\frac{z^{2}+4z^{2}-6z}{z^{3}+4}
Since \frac{z^{2}}{z^{3}+4} and \frac{4z^{2}-6z}{z^{3}+4} have the same denominator, add them by adding their numerators.
\frac{5z^{2}-6z}{z^{3}+4}
Combine like terms in z^{2}+4z^{2}-6z.
\frac{z^{2}+4z^{2}-6z}{z^{3}+4}
Since \frac{z^{2}}{z^{3}+4} and \frac{4z^{2}-6z}{z^{3}+4} have the same denominator, add them by adding their numerators.
\frac{5z^{2}-6z}{z^{3}+4}
Combine like terms in z^{2}+4z^{2}-6z.
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