Question

Умоляю, решите. Выполните действия с дробями:

Answer 1

Ответ:3/4

Объяснение:

Answer 2

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

$3)\frac{-8t-16}{t(4t-1)(t+4)}:\frac{5}{t^{2}+4t}=\frac{-8t-16}{t(4t-1)(t+4)}*\frac{t(t+4)}{5}=\frac{-8t-16}{5(4t-1)}\\\\4)\frac{-8t-16}{5(4t-1)}-\frac{20t+13}{5-20t}=\frac{-8t-16}{5(4t-1)}+\frac{20t+13}{5(4t-1)}=\frac{-8t-16+20t+13}{5(4t-1)}=\frac{12t-3}{5(4t-1)}=\frac{3(4t-1)}{5(4t-1)} =\frac{3}{5}$

$Otvet:\boxed{\frac{3}{5}}$