Ж, 4) (c−1)/(c+2) − (c−2)/(c+1) =

Question

Вопрос:

Ж, 4) (c−1)/(c+2) − (c−2)/(c+1) =

Accepted Answer

Общий знаменатель — \((c+2)(c+1)\): \(\frac{c-1}{c+2}-\frac{c-2}{c+1}=\frac{(c-1)(c+1)-(c-2)(c+2)}{(c+2)(c+1)}=\frac{(c^2-1)-(c^2-4)}{(c+2)(c+1)}=\frac{3}{(c+2)(c+1)}\).

Ответ: \(\frac{3}{(c+2)(c+1)}\).