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\frac{4n^{3}-25n}{\left(3n^{2}-16n+5\right)\left(10n+25\right)}
Express \frac{\frac{4n^{3}-25n}{3n^{2}-16n+5}}{10n+25} as a single fraction.
\frac{n\left(2n-5\right)\left(2n+5\right)}{5\left(n-5\right)\left(3n-1\right)\left(2n+5\right)}
Factor the expressions that are not already factored.
\frac{n\left(2n-5\right)}{5\left(n-5\right)\left(3n-1\right)}
Cancel out 2n+5 in both numerator and denominator.
\frac{2n^{2}-5n}{15n^{2}-80n+25}
Expand the expression.
\frac{4n^{3}-25n}{\left(3n^{2}-16n+5\right)\left(10n+25\right)}
Express \frac{\frac{4n^{3}-25n}{3n^{2}-16n+5}}{10n+25} as a single fraction.
\frac{n\left(2n-5\right)\left(2n+5\right)}{5\left(n-5\right)\left(3n-1\right)\left(2n+5\right)}
Factor the expressions that are not already factored.
\frac{n\left(2n-5\right)}{5\left(n-5\right)\left(3n-1\right)}
Cancel out 2n+5 in both numerator and denominator.
\frac{2n^{2}-5n}{15n^{2}-80n+25}
Expand the expression.