Упростите выражение ДО КОНЦА: /x-y/-/z-y/-/z-x/ x>y>z

Предмет: Алгебра, автор: MaksusVen

Упростите выражение ДО КОНЦА:
$/x-y/-/z-y/-/z-x/ x>y>z$

Ответы

Автор ответа: mailforazi

$|x-y|-|z-y|-|z-x|=(x-y)-(y-z)-(x-z)= \ =x-y-y+z-x+z=2z-2y=2(z-y)$

Автор ответа: mailforazi

если под модулем больше 0 получается, тогда просто модуль опустили (как в 1), если же под модулем получаем отрицательное значение (2 и 3), тогда раскрывается с "-", т.е. знаки под модулем меняем на противоположные

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