Упростить выражение и найти его значение при a=0.75, b=4/3. Created by WWWMagistr. algebra-ru

РешениеЧислитель: [(a² + 2ab + b²)/ab] * [(a² + 2ab + b² - 2ab)] / [2a*(a + b)] = = [(a + b)²*(a² + b²)] / [2a²b(a + b)] = [(a + b)*(a² + b²)] / 2a²bЗнаменатель:[(a² + 2ab + b²)*(a² - ab + ab + b²)] / [a*(a - b)*(a + b)] == [(a + b)²*(a² + b²)] / [a*(a + b)*(a - b)] == [(a + b)*(a² + b²)] / {a*(a - b)]Делим числитель на знаменатель: [(a + b)*(a² + b²)] / 2a²b : [(a + b)*(a² + b²)] / [a*(a - b)] == [(a + b)*(a² + b²)a*(a - b)] / [2a²b*(a + b)*(a² + b²)] == (a - b) / 2aba = 0,75 ; b = 4/3(3/4 - 4/3) / [2*(3/4)*(4*3)] = - 7/12 : 2 = - 7/24Новые вопросы в Алгебранайти производную соs²xНадо решить системы уравнений ( не графичным способом) 125a⁸b⁴-20a⁶b⁵______________15a⁵b⁴Представить двучлен в виде произведения разности и суммыУпростите помогите пжпжпжпжрж((7^2005)+(7^2004)+8)/((7^2004)+1)Найдите сумму всех значений n (n принодлежит N) при которых значение n^2-2n+3/n+2 натуральное число.Быстро пожалуйстаНе виконуючи побудови, знайдіть координати точок пе ретину з осями координат графіка функції у = х² - 2x.Решить уравнение:(y+2)/(8y^3+1)-1/(4y+2)=(y+3)/(8y^2-4y+2) 1. Розв'язати задачу: На кінцях важеля завдовжки 30 см підвішено вантажi на одному 1 кг, а на другому 0,5 кг. в якій точці треба підперти важіль, щоб…він був у стані рівноваги?ПредыдущийСледующийВместе мы знаем большеЭтот сайт использует cookies Политика Cookies . 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3...

WWWMagistr @WWWMagistr

August 2022 1 11 Report

Упростить выражение и найти его значение при a=0.75, b=4/3

Answers & Comments

nKrynka Решение
Числитель:
[(a² + 2ab + b²)/ab] * [(a² + 2ab + b² - 2ab)] / [2a*(a + b)] =
= [(a + b)²*(a² + b²)] / [2a²b(a + b)] = [(a + b)*(a² + b²)] / 2a²b
Знаменатель:
[(a² + 2ab + b²)*(a² - ab + ab + b²)] / [a*(a - b)*(a + b)] =
= [(a + b)²*(a² + b²)] / [a*(a + b)*(a - b)] =
= [(a + b)*(a² + b²)] / {a*(a - b)]
Делим числитель на знаменатель:
[(a + b)*(a² + b²)] / 2a²b : [(a + b)*(a² + b²)] / [a*(a - b)] =
= [(a + b)*(a² + b²)a*(a - b)] / [2a²b*(a + b)*(a² + b²)] =
= (a - b) / 2ab
a = 0,75 ; b = 4/3
(3/4 - 4/3) / [2*(3/4)*(4*3)] = - 7/12 : 2 = - 7/24