Question

Упростите выражение:
а) $( frac{x+10}{5x+25}- frac{1}{x+5}) frac{5}{x-5}- frac{10}{x^{2}-25}$
б) $frac{y^{2}}{y^{2}-1}+ frac{1}{y^{2}-1}:( frac{2}{2y-y^{2}}- frac{1}{2-y})$

Answer 1

!!!!!!!!!!!!!!!!!!!!!!!!!

Answer 2

$mathtt{(frac{x+10}{5x+25}-frac{1}{x+5})frac{5}{x-5}-frac{10}{x^2-25}=frac{x+5}{5(x+5)}*frac{5}{x-5}-frac{10}{x^2-25}=frac{1}{x-5}-frac{10}{x^2-25}=}\mathtt{frac{x+5}{x^2-25}-frac{10}{x^2-25}=frac{x-5}{x^2-25}=frac{1}{x+5}=(x+5)^{-1}};$


$mathtt{frac{y^2}{y^2-1}+frac{1}{y^2-1}:(frac{2}{2y-y^2}-frac{1}{2-y})=frac{y^2}{y^2-1}+frac{1}{y^2-1}:frac{2-y}{y(2-y)}=frac{y^2}{y^2-1}+frac{1}{y^2-1}*y=}\mathtt{frac{y^2+y}{y^2-1}=frac{y}{y-1}}$