В-1, е) Упростить: \(\frac{d+1}{c^2d^3}-\frac{c-2}{c^3d^2}\).

Общий знаменатель — \(c^3d^3\):

\[\frac{d+1}{c^2d^3}-\frac{c-2}{c^3d^2}=\frac{c(d+1)-d(c-2)}{c^3d^3}=\frac{cd+c-cd+2d}{c^3d^3}=\frac{c+2d}{c^3d^3}.\]

Ограничения: \(c\ne0\), \(d\ne0\).

Ответ: \(\frac{c+2d}{c^3d^3}\).