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Консультация № 199717
26.11.2020, 12:44
0.00 руб.
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Уважаемые эксперты! Пожалуйста, ответьте на вопрос:
Упростите выражение: (a^2-b^2)/(√a-√b)*(√ab+b)/(a√b+b√b+2b√a).
Упростите выражение: (a^2-b^2)/(√a-√b)*(√ab+b)/(a√b+b√b+2b√a).
Прикрепленные файлы:
Обсуждение
26.11.2020, 16:23
общий
это ответ
Здравствуйте, Barsik22!
Дана функция : F(a,b) = [(a2 - b2) / ([$8730$]a - [$8730$]b)] · [([$8730$]a·b + b) / (a·[$8730$]b + b·[$8730$]b + 2·b·[$8730$]a)]
Надо упростить это выражение.
Решение : Сделаем временную замену : p = [$8730$]a ; q = [$8730$]b
Для упрощения используем формулы школьной алгебры : Разность квадратов p2 - q2 = (p - q)·(p + q)
и квадрат суммы : (p + q)2 = p2 + 2·p·q + q2
Скриншот с формулами прилагаю ниже:
Ответ : F(a,b) = a + b
Дана функция : F(a,b) = [(a2 - b2) / ([$8730$]a - [$8730$]b)] · [([$8730$]a·b + b) / (a·[$8730$]b + b·[$8730$]b + 2·b·[$8730$]a)]
Надо упростить это выражение.
Решение : Сделаем временную замену : p = [$8730$]a ; q = [$8730$]b
Для упрощения используем формулы школьной алгебры : Разность квадратов p2 - q2 = (p - q)·(p + q)
и квадрат суммы : (p + q)2 = p2 + 2·p·q + q2
Скриншот с формулами прилагаю ниже:
Ответ : F(a,b) = a + b
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