5:[["$","div",null,{"className":"crumbs","children":[["$","span",null,{"children":["$","a",null,{"href":"/","children":"Главная"}]}],["$","span",null,{"children":["$","a",null,{"href":"/gdz","children":"ГДЗ"}]}],["$","span",null,{"children":["$","a",null,{"href":"/gdz/algebra/8-klass/merzlyak","children":["Алгебра"," ",8," класс ","Мерзляк"]}]}],["$","span",null,{"children":["Номер ","879"]}]]}],["$","h1",null,{"children":["Номер 879"," — ГДЗ ","алгебра"," ",8," класс ","Мерзляк"]}],[["$","section","11514",{"children":[false,["$","div",null,{"className":"sheet-card statement","children":[["$","p",null,{"children":["$","b",null,{"children":["№ 879","."]}]}],["$","div",null,{"dangerouslySetInnerHTML":{"__html":"

Докажите, что :

\n 1) ab(b – a) ≤ a³ – b³, если a ≥ b;
\n 2) a – 1/2 – a – 2/3 > 1/2, если a > 2. \n \n

"}}]]}],["$","div",null,{"className":"notice","children":["Разбор этого задания готовится. Пока можно ",["$","a",null,{"href":"/reshit","children":"решить его по фото"}]," — ИИ объяснит по шагам."]}]]}]],["$","p",null,{"children":[["$","a",null,{"href":"/gdz/algebra/8-klass/merzlyak/nomer-878","children":["← ","Номер 878"]}]," · ",["$","a",null,{"href":"/gdz/algebra/8-klass/merzlyak/nomer-880","children":["Номер 880"," →"]}]," · ",["$","a",null,{"href":"/gdz/algebra/8-klass/merzlyak","children":"Все номера"}]]}],["$","script",null,{"type":"application/ld+json","dangerouslySetInnerHTML":{"__html":"[{\"@context\":\"https://schema.org\",\"@type\":\"Question\",\"name\":\"Алгебра 8 класс Мерзляк, номер 879\",\"text\":\"Докажите, что : 1) ab(b – a) ≤ a3 – b3, если a ≥ b; 2) a – 1/2 – a – 2/3 > 1/2, если a > 2.\",\"answerCount\":1,\"acceptedAnswer\":{\"@type\":\"Answer\",\"text\":\"Ответ: 1) Неравенство (a – b)(a + b)² ≥ 0 выполняется при a ≥ b, так как оба множителя неотрицательны; 2) При a > 2 упрощение приводит к неравенству a > 2, что совпадает с условием.\"}},{\"@context\":\"https://schema.org\",\"@type\":\"BreadcrumbList\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Главная\",\"item\":\"https://reshay.ai/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"ГДЗ\",\"item\":\"https://reshay.ai/gdz\"},{\"@type\":\"ListItem\",\"position\":3,\"name\":\"Алгебра 8 класс Мерзляк\",\"item\":\"https://reshay.ai/gdz/algebra/8-klass/merzlyak\"},{\"@type\":\"ListItem\",\"position\":4,\"name\":\"Номер 879\"}]}]"}}]]

Номер 879 — ГДЗ алгебра 8 класс Мерзляк