Ответ:
Пошаговое объяснение:
1)((х-2)х+х^2+8-х^2-2х-4)/(х^2-8)=
(Х^2-2х+х^2+8-х^2-2х-4)/(х^2-8)=
(Х^2-4х-4)/(х-2)(х^2+2х+4)=
(х-2)^2/(х-2)(х^2+2х+4)=
(Х-2)/(х^2+2х+4)
2)х^2/(х-2)(х+2)-2/(2-х)=х^2/(х-2)(х+2)+
2/(х-2)=х^2+2(х+2)/(х+2)(х-2)=
(Х^2+2х+4)/(х-2)(х+2)
3)(х-2)/(х^2+2х+4)×(х^2+2х+4)/(х-2)(х+2)=1/(х+2)
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Ответ:
Пошаговое объяснение:
1)((х-2)х+х^2+8-х^2-2х-4)/(х^2-8)=
(Х^2-2х+х^2+8-х^2-2х-4)/(х^2-8)=
(Х^2-4х-4)/(х-2)(х^2+2х+4)=
(х-2)^2/(х-2)(х^2+2х+4)=
(Х-2)/(х^2+2х+4)
2)х^2/(х-2)(х+2)-2/(2-х)=х^2/(х-2)(х+2)+
2/(х-2)=х^2+2(х+2)/(х+2)(х-2)=
(Х^2+2х+4)/(х-2)(х+2)
3)(х-2)/(х^2+2х+4)×(х^2+2х+4)/(х-2)(х+2)=1/(х+2)