38) \(\frac{c-1}{c+2}-\frac{c-2}{c+1}\)

\(\frac{(c-1)(c+1)-(c-2)(c+2)}{(c+2)(c+1)}=\frac{3}{(c+2)(c+1)}\).

Ответ: \(\frac3{(c+2)(c+1)}\).