Evaluate: (fr)/(d^3) * ((fsr)/(d^2)+3fs-(8)/(d))

Expression: $\frac{ fr }{ {d}^{3} } \times \left( \frac{ fsr }{ {d}^{2} }+3fs-\frac{ 8 }{ d } \right)$

Use the commutative property to reorder the terms

$\frac{ fr }{ {d}^{3} } \times \left( \frac{ frs }{ {d}^{2} }+3fs-\frac{ 8 }{ d } \right)$

Write all numerators above the least common denominator ${d}^{2}$

$\frac{ fr }{ {d}^{3} } \times \frac{ frs+3{d}^{2}fs-8d }{ {d}^{2} }$

Multiply the fractions

$\frac{ fr \times \left( frs+3{d}^{2}fs-8d \right) }{ {d}^{5} }$

Distribute $fr$ through the parentheses

$\frac{ {f}^{2}{r}^{2}s+3{d}^{2}{f}^{2}rs-8dfr }{ {d}^{5} }$