Question

хэлп ребятки, очень нужно

Answer 1

(4u/5v+5v/4u+2)*20uv/5v+4u
(4u/5v)(20uv/5v+4u)+(5v/4u)(20uv/5v+4u)+2(20uv/5v+4u)
4u(4u/5v+4u)+(5v/4u)(20uv/5v+4u)+2(20uv/5v+4u)
16u^2/5v+4u+5v(5v/5v+4u)+40uv/5v+4u
16u^2/5v+4u+25v^2/5v+4u+40uv/5v+4u
16u^2+25v^2/5v+4u+40uv/5v+4u
16u^2+25v^2+40uv/5v+4u
16u^2+40uv+25v^2/5v+4u
(4u)^2+40uv+(5v)^2/5v+4u
(4u+5v)^2/5v+4u
4u+5v

Answer 2

$( \frac{4u}{5v} + \frac{5v}{4u} +2)* \frac{20uv}{5v+4u} = \frac{4u*4u+5v*5v+2*20uv}{20uv} * \frac{20uv}{5v+4u} =$

$=\frac{16u^2+25v^2+40uv}{20uv} * \frac{20uv}{5v+4u} =\frac{(4u+5v)^2}{20uv} * \frac{20uv}{5v+4u} =4u+5v$