Упростите выражение \(\frac{c^2}{c^3-8}-\frac{5c+1}{8-c^3}-\frac{3-3c}{8-c^3}\) : \(\frac{c^2}{c^3-8}+\frac{5c+1}{c^3-8}+\frac{3-3c}{c^3-8}\) \(\frac{c^2+5c+1+3-3c}{c^3-8}\) \(\frac{c^2+2c+4}{c^3-8}\) \(\frac{c^2+2c+4}{(c-2)(c^2+2c+4)}\) \(\frac{1}{c-2}\)

Задание

Упростите выражение \(\frac{c^2}{c^3-8}-\frac{5c+1}{8-c^3}-\frac{3-3c}{8-c^3}\) :

\(\frac{c^2}{c^3-8}+\frac{5c+1}{c^3-8}+\frac{3-3c}{c^3-8}\)
\(\frac{c^2+5c+1+3-3c}{c^3-8}\)
\(\frac{c^2+2c+4}{c^3-8}\)
\(\frac{c^2+2c+4}{(c-2)(c^2+2c+4)}\)
\(\frac{1}{c-2}\)