Natali Belska
Гений
(67221)
3 месяца назад
10) (условие) =
= [x * (1/(x-2) - 1/(x+2) + (x^2+4)/(x^2-4)] : (2x+x^2)/(2-x)^2 =
= [x * ((x+2) - (x-2))/(x+2)(x-2) + (x^2+4)/(x+2)(x-2)] : x*(2+x)/(2-x)^2 =
= [4x/(x+2)(x-2) + (x^2+4)/(x+2)(x-2)] : x*(2+x)/(2-x)^2 =
= [(4x + (x^2+4)/(x+2)(x-2)] * (2-x)^2/x*(2+x) =
= [(x+2)^2/(x+2)(x-2)] * (2-x)^2/x*(2+x) =
= [(x+2)/(x-2)] * (2-x)^2/x*(2+x) =
= (x+2)(x-2)^2 / (x-2)*x*(2+x) =
= (x-2) / x