Question

Верхний пример упростите❤️

Answer 1

$1)frac{s^{2}-4s+16 }{16s^{2}-1 }*frac{4s^{2}+s }{s^{3}+64 }=frac{(s^{2}-4s+16)*s*(4s+1) }{(4s+1)(4s-1)*(s+4)(s^{2}-4s+16)} =frac{s}{(4s-1)(s+4)}\\2)frac{s}{(4s-1)(s+4)}-frac{s+4}{4s^{2}-s }=frac{s}{(4s-1)(s+4)}-frac{s+4}{s(4s-1)}=frac{s^{2}-s^{2}-8s-16}{s(4s-1)(s+4)}=frac{-8(s+2)}{s(4s-1)(s+4)}$

$3)frac{-8(s+2)}{s(4s-1)(s+4)}:frac{4}{s^{2}+4s }=frac{-8(s+2)}{s(4s-1)(s+4)}*frac{s(s+4)}{4}=frac{-2(s+2)}{4s-1}\\4)frac{-2(s+2)}{4s-1}-frac{20s+13}{4-16s}=frac{-2s-4}{4s-1}+frac{20s+13}{4(4s-1)}=frac{-8s-16+20s+13}{4(4s-1)}=frac{12s-3}{4(4s-1)}=frac{3(4s-1)}{4(4s-1)}=frac{3}{4}=0,75$