• Главная
  • Технологии
  • Психология и отношения
  • Наука и образованиеНаука и образование
  • Еда
  • Культура и искусство
  • Фильмы и сериалы
  • Экономика и финансы
  • Игры
  • Спорт
  • Красота и мода
  • Полезные советы
  • Авто
  • Право
  • Путешествия
  • Животные и природа
  • Здоровье
  • Другое
  • Вы здесь
    • Библиотека Нейро ›
    • Наука и образование ›

    Как доказать формулу a³ + b³?

    Нейро

    Ответ создан на основе результатов поиска

    Доказательство формулы a³ + b³ 4:
    1. Запишем формулу в виде: a³ + b³ = (a + b)(a² - ab + b²) 45.
    2. Используя дистрибутивное свойство умножения, получим: (a + b)(a² - ab + b²) = a(a² - ab + b²) + b(a² - ab + b²) 4.
    3. Далее приведём подобные члены: a³ - a²b + ab² + a²b - ab² + b³ = a³ - a²b + a²b + ab² - ab² + b³ = a³ + b³ 4.
    4. Таким образом, формула доказана.
    На основе 10 источников:

      Оценить ответ

      10 источников

      1. tr-page.yandex.ru
        1
      2. ru.wikipedia.org
        2
      3. cuemath.com
        3
      4. careerpower.in
        4
      5. vocationindia.com
        5
      6. uchi.ru
        6
      7. otvet.mail.ru
        7
      8. math-prosto.ru
        8
      9. adda247.com
        9
      10. skolkovo.io
        10

    • Получите больше информации

  • Что такое Нейро?
Ответы сформированы Нейро на основе общедоступной информации. В них могут быть неточности
  • © 2025 Яндекс
  • Политика конфиденциальности
  • Пользовательское соглашение
  • Сообщить об ошибке
  • О компании
{"m44z0":{"state":{"logoProps":{"url":"https://yandex.kz"},"formProps":{"action":"https://yandex.kz/search","searchLabel":"Найти"},"services":{"items":[]},"userProps":{"loggedIn":false,"ariaLabel":"Меню","plus":false,"birthdayHat":false,"child":false,"dialogProps":{"host":"yandex.kz","lang":"ru","project":"neurolib","queryParams":{"exp_flags":"skin","preset":"oceania","utm_source":"portal-neurolib"},"retpath":"https%3A%2F%2Fyandex.kz%2Fyanswers%2Fc%2Fgylym-jane-bilim%2Fq%2Fkak-dokazat-formulu-a-3-b-3-1703010946%3Fncrnd%3D26370","tld":"kz","platform":"desktop"},"className":"PortalHeader-User"},"suggestProps":{"selectors":{"form":".HeaderForm","input":".HeaderForm-Input","submit":".HeaderForm-Submit","clear":".HeaderForm-Clear","layout":".HeaderForm-InputWrapper"},"suggestUrl":"https://yandex.com.tr/suggest/suggest-ya.cgi?show_experiment=222&show_experiment=224","deleteUrl":"https://yandex.com.tr/suggest-delete-text?srv=web&text_to_delete=","suggestPlaceholder":"Поиск с Нейро","platform":"desktop","hideKeyboardOnScroll":false,"additionalFormClasses":["mini-suggest_theme_tile","mini-suggest_overlay_tile","mini-suggest_expanding_yes","mini-suggest_prevent-empty_yes","mini-suggest_type-icon_yes","mini-suggest_personal_yes","mini-suggest_type-icon_yes","mini-suggest_rich_yes","mini-suggest_overlay_dark","mini-suggest_large_yes","mini-suggest_copy-fact_yes","mini-suggest_clipboard_yes","mini-suggest_turboapp_yes","mini-suggest_expanding_yes","mini-suggest_affix_yes","mini-suggest_carousel_yes","mini-suggest_traffic_yes","mini-suggest_re-request_yes","mini-suggest_source_yes","mini-suggest_favicon_yes","mini-suggest_more","mini-suggest_long-fact_yes","mini-suggest_hide-keyboard_yes","mini-suggest_clear-on-submit_yes","mini-suggest_focus-on-change_yes","mini-suggest_short-fact_yes","mini-suggest_app_yes","mini-suggest_grouping_yes","mini-suggest_entity-suggest_yes","mini-suggest_redesigned-navs_yes","mini-suggest_title-multiline_yes","mini-suggest_type-icon-wrapped_yes","mini-suggest_fulltext-highlight_yes","mini-suggest_fulltext-insert_yes","mini-suggest_lines_multi"],"counter":{"service":"neurolib_com_tr_desktop","url":"//yandex.ru/clck/jclck","timeout":300,"params":{"dtype":"stred","pid":"0","cid":"2873"}},"noSubmit":false,"formAction":"https://yandex.kz/search","tld":"kz","suggestParams":{},"disableWebSuggest":false},"context":{"query":"","reqid":"1763940469731149-6990174107007871010-balancer-l7leveler-kubr-yp-vla-172-BAL","lr":"20815","aliceDeeplink":"{\"text\":\"\"}"},"baobab":{"parentNode":{"context":{"genInfo":{"prefix":"m44zw01-0-1"},"ui":"desktop","service":"neurolib","fast":{"name":"neuro_library","subtype":"header"}}}}},"type":"neuro_library","subtype":"header"},"m44z1":{"state":{"links":[{"id":"main","url":"/yanswers/","title":"Главная","target":"_self"},{"id":"technologies","url":"/yanswers/c/tehnologiyalar","title":"Технологии","target":"_self"},{"id":"psychology-and-relationships","url":"/yanswers/c/psihologiya-jane-qarim-qatinas","title":"Психология и отношения","target":"_self"},{"id":"science-and-education","url":"/yanswers/c/gylym-jane-bilim","title":"Наука и образование","target":"_self"},{"id":"food","url":"/yanswers/c/tamaq-jane-as-onimderi","title":"Еда","target":"_self"},{"id":"culture-and-art","url":"/yanswers/c/madeniet-pen-oner","title":"Культура и искусство","target":"_self"},{"id":"tv-and-films","url":"/yanswers/c/tv-jane-filmder","title":"Фильмы и сериалы","target":"_self"},{"id":"economics-and-finance","url":"/yanswers/c/ekonomika-jane-qarjy","title":"Экономика и финансы","target":"_self"},{"id":"games","url":"/yanswers/c/oyindar","title":"Игры","target":"_self"},{"id":"sport","url":"/yanswers/c/sport","title":"Спорт","target":"_self"},{"id":"beauty-and-style","url":"/yanswers/c/sululiq-pen-stil","title":"Красота и мода","target":"_self"},{"id":"useful-tips","url":"/yanswers/c/paydaly-kenester","title":"Полезные советы","target":"_self"},{"id":"auto","url":"/yanswers/c/avto","title":"Авто","target":"_self"},{"id":"law","url":"/yanswers/c/zan","title":"Право","target":"_self"},{"id":"travel","url":"/yanswers/c/sayahat","title":"Путешествия","target":"_self"},{"id":"animals-and-nature","url":"/yanswers/c/januarlar-men-tabigat","title":"Животные и природа","target":"_self"},{"id":"health","url":"/yanswers/c/densaulyq","title":"Здоровье","target":"_self"},{"id":"other","url":"/yanswers/c/basqasy","title":"Другое","target":"_self"}],"activeLinkId":"science-and-education","title":"Категории","baobab":{"parentNode":{"context":{"genInfo":{"prefix":"m44zw02-0-1"},"ui":"desktop","service":"neurolib","fast":{"name":"neuro_library","subtype":"header-categories"}}}}},"type":"neuro_library","subtype":"header-categories"},"m44z2":{"state":{"tld":"kz","markdown":"**Доказательство формулы a³ + b³** [```4```](https://www.careerpower.in/a3-b3-formula.html):\n\n1. Запишем формулу в виде: a³ + b³ = (a + b)(a² - ab + b²) [```4```](https://www.careerpower.in/a3-b3-formula.html)[```5```](https://www.vocationindia.com/a3-b3-formula/).\n2. Используя дистрибутивное свойство умножения, получим: (a + b)(a² - ab + b²) = a(a² - ab + b²) + b(a² - ab + b²) [```4```](https://www.careerpower.in/a3-b3-formula.html).\n3. Далее приведём подобные члены: a³ - a²b + ab² + a²b - ab² + b³ = a³ - a²b + a²b + ab² - ab² + b³ = a³ + b³ [```4```](https://www.careerpower.in/a3-b3-formula.html).\n4. Таким образом, формула доказана.","sources":[{"sourceId":1,"url":"https://tr-page.yandex.ru/translate?lang=en-ru&url=https%3A%2F%2Fwww.geeksforgeeks.org%2Fa-cube-plus-b-cube-formula%2F","title":"формула a3 + b3 | GeeksforGeeks","shownUrl":"https://tr-page.yandex.ru/translate?lang=en-ru&url=https%3A%2F%2Fwww.geeksforgeeks.org%2Fa-cube-plus-b-cube-formula%2F","rel":"nofollow"},{"sourceId":2,"url":"https://ru.wikipedia.org/wiki/%D0%A4%D0%BE%D1%80%D0%BC%D1%83%D0%BB%D1%8B_%D1%81%D0%BE%D0%BA%D1%80%D0%B0%D1%89%D1%91%D0%BD%D0%BD%D0%BE%D0%B3%D0%BE_%D1%83%D0%BC%D0%BD%D0%BE%D0%B6%D0%B5%D0%BD%D0%B8%D1%8F_%D0%BC%D0%BD%D0%BE%D0%B3%D0%BE%D1%87%D0%BB%D0%B5%D0%BD%D0%BE%D0%B2","title":"Формулы сокращённого умножения многочленов...","shownUrl":"https://ru.wikipedia.org/wiki/%D0%A4%D0%BE%D1%80%D0%BC%D1%83%D0%BB%D1%8B_%D1%81%D0%BE%D0%BA%D1%80%D0%B0%D1%89%D1%91%D0%BD%D0%BD%D0%BE%D0%B3%D0%BE_%D1%83%D0%BC%D0%BD%D0%BE%D0%B6%D0%B5%D0%BD%D0%B8%D1%8F_%D0%BC%D0%BD%D0%BE%D0%B3%D0%BE%D1%87%D0%BB%D0%B5%D0%BD%D0%BE%D0%B2","rel":"nofollow"},{"sourceId":3,"url":"https://www.cuemath.com/sum-of-cubes-formula/","title":"Sum of Cubes Formula - Examples | a^3 + b^3 Formula","shownUrl":"https://www.cuemath.com/sum-of-cubes-formula/","rel":"nofollow"},{"sourceId":4,"url":"https://www.careerpower.in/a3-b3-formula.html","title":"a3-b3 Formula, Learn a Cube minus b Cube Formula","shownUrl":"https://www.careerpower.in/a3-b3-formula.html","rel":"nofollow"},{"sourceId":5,"url":"https://www.vocationindia.com/a3-b3-formula/","title":"a3 b3 Formula - with Questions and Answers","shownUrl":"https://www.vocationindia.com/a3-b3-formula/","rel":"nofollow"},{"sourceId":6,"url":"https://uchi.ru/otvety/questions/kak-razlozhit-a-3-b-3","title":"Как разложить а^3+b^3 - ответ на Uchi.ru","shownUrl":"https://uchi.ru/otvety/questions/kak-razlozhit-a-3-b-3","rel":"nofollow"},{"sourceId":7,"url":"https://otvet.mail.ru/question/201380427","title":"Формулы сокращенного умножения: a3 + b3 | Ответы Mail","shownUrl":"https://otvet.mail.ru/question/201380427","rel":"nofollow"},{"sourceId":8,"url":"https://math-prosto.ru/ru/pages/how_to_use_formulas_of_abridged_multiplication/difference_of_cubes/","title":"§ Как использовать разность кубов a³ - b³","shownUrl":"https://math-prosto.ru/ru/pages/how_to_use_formulas_of_abridged_multiplication/difference_of_cubes/","rel":"nofollow"},{"sourceId":9,"url":"https://www.adda247.com/school/a3-b3-formula/","title":"a3+b3 Formula: Check a3-b3 Formula...","shownUrl":"https://www.adda247.com/school/a3-b3-formula/","rel":"nofollow"},{"sourceId":10,"url":"https://skolkovo.io/education/summa-kubov-formula-a3-v3","title":"Сумма кубов формула а3 в3 57 фото","shownUrl":"https://skolkovo.io/education/summa-kubov-formula-a3-v3","rel":"nofollow"}],"isHermione":false,"headerProps":{"header":"Как доказать формулу a³ + b³?","homeUrl":"/yanswers/","categoryUrl":"/yanswers/c/gylym-jane-bilim","categoryTitle":"Наука и образование","canUseNativeShare":false,"tags":[],"extralinksItems":[{"variant":"reportFeedback","reportFeedback":{"feature":"YazekaAnswers","title":"Что не так в этом ответе?","checkBoxLabels":[{"value":"Неприемлемый или оскорбительный ответ"},{"value":"Нет ответа на мой вопрос"},{"value":"Есть фактические ошибки"},{"value":"Мало информации"},{"value":"Информация устарела"},{"value":"Ошибки отображения"},{"value":"Нет доверия источникам ответа"},{"value":"Не нужен ответ по этому вопросу"},{"value":"Другое"}]}}]},"suggestProps":{"suggestItems":[{"id":-1,"url":"/search?text=%D0%9A%D0%B0%D0%BA+%D0%B4%D0%BE%D0%BA%D0%B0%D0%B7%D0%B0%D1%82%D1%8C+%D1%84%D0%BE%D1%80%D0%BC%D1%83%D0%BB%D1%83+a%C2%B3+%2B+b%C2%B3%3F&promo=force_neuro","text":"Получите больше информации"}]},"feedbackProps":{"feature":"YazekaAnswers","baseProps":{"metaFields":{"yandexuid":"5344761691763940467","reqid":"1763940469731149-6990174107007871010-balancer-l7leveler-kubr-yp-vla-172-BAL"}},"positiveCheckboxLabels":[{"value":"Очень понравился ответ"},{"value":"В ответе есть нужная информация"},{"value":"Хорошая структура"},{"value":"Другое"}],"negativeCheckboxLabels":[{"value":"Неприемлемый или оскорбительный ответ"},{"value":"Нет ответа на мой вопрос"},{"value":"Есть фактические ошибки"},{"value":"Мало информации"},{"value":"Информация устарела"},{"value":"Ошибки отображения"},{"value":"Нет доверия источникам ответа"},{"value":"Не нужен ответ по этому вопросу"},{"value":"Другое"}]},"dialogStoreProps":{"baseUrl":""},"globalStoreProps":{"imageBackendUrl":"https://yandex.kz/images-apphost/image-download?cbird=171","query":"","retina":false,"avatarId":"0","isMacOS":false,"isEmbeddedFuturis":false,"brand":"neuro","device":{"isIOS":false,"platform":"desktop"}},"baobab":{"parentNode":{"context":{"genInfo":{"prefix":"m44zw03-0-1"},"ui":"desktop","service":"neurolib","fast":{"name":"neuro_library","subtype":"question"}}}}},"type":"neuro_library","subtype":"question"},"m44z3":{"state":{"relatedMaterials":[],"baobab":{"parentNode":{"context":{"genInfo":{"prefix":"m44zw04-0-1"},"ui":"desktop","service":"neurolib","fast":{"name":"neuro_library","subtype":"related"}}}}},"type":"neuro_library","subtype":"related"},"m44z4":{"state":{"tld":"kz","isIos":false,"isQuestionPage":true,"baobab":{"parentNode":{"context":{"genInfo":{"prefix":"m44zw05-0-1"},"ui":"desktop","service":"neurolib","fast":{"name":"neuro_library","subtype":"ask_question"}}}}},"type":"neuro_library","subtype":"ask_question"},"m44z5":{"state":{"generalLinks":[{"id":"privacy-policy","text":"Политика конфиденциальности","url":"https://yandex.kz/legal/confidential/"},{"id":"terms-of-service","text":"Пользовательское соглашение","url":"https://yandex.kz/legal/neurum_termsofuse/"},{"id":"report-error","text":"Сообщить об ошибке","url":"https://forms.yandex.kz/surveys/13764639.7eee0a3742f85d3f2330de0b5792096e6be7f464/"},{"id":"about-company","text":"О компании","url":"https://company.yandex.ru/"}],"copyright":{"url":"https://yandex.kz","currentYear":2025},"socialLinks":[],"categoriesLink":[],"disclaimer":"Ответы сформированы Нейро на основе общедоступной информации. В них могут быть неточности","baobab":{"parentNode":{"context":{"genInfo":{"prefix":"m44zw06-0-1"},"ui":"desktop","service":"neurolib","fast":{"name":"neuro_library","subtype":"footer"}}}}},"type":"neuro_library","subtype":"footer"}}