Question

Выполни действия (s2−2s+44s2−1⋅2s2+ss3+8−s+22s2−s):4s2+2s−10s+14−8s.
ДАЮ 50 БАЛЛОВ

Answer 1

$Big(dfrac{s^2-2s+4}{4s^2-1}cdot dfrac{2s^2+s}{s^3+8}-dfrac{s+2}{2s^2-s}Big):dfrac{4}{s^2+2s}-dfrac{10s+1}{4-8s}=\\\=Big(dfrac{s^2-2s+4}{(2s-1)(2s+1)}cdot dfrac{s(2s+1)}{(s+2)(s^2-2s+4)}-dfrac{s+2}{s(2s-1)}Big)cdot dfrac{s(s+2)}{4}-dfrac{10s+1}{4(1-2s)}=\\\=Big(dfrac{s}{(2s-1)(s+2)}-dfrac{s+2}{s(2s-1)}Big)cdot dfrac{s(s+2)}{4}+dfrac{10s+1}{4(2s-1)}=$

$=dfrac{s^2-(s+2)^2}{s(2s-1)(s+2)}cdot dfrac{s(s+2)}{4}+dfrac{10s+1}{4(2s-1)}=\\\=dfrac{-4s-4}{2s-1}cdot dfrac{1}{4}+dfrac{10s+1}{4(2s-1)}=dfrac{-4s-4+10s+1}{4(2s-1)}=dfrac{6s-3}{4(2s-1)}=\\\=dfrac{3, (2s-1)}{4, (2s-1)}=dfrac{3}{4}$

Answer 2

Ответ: во вложении Объяснение: