(4/a+1 + 2a/a^2-1 - 1/a-1)*(a^2+2a+1) выражение - вопрос №78588914122111221 от aksiniaplotniko 17.02.2021 05:03

Question

Алгебра: (4/a+1 + 2a/a^2-1 - 1/a-1)*(a^2+2a+1) выражение

aksiniaplotniko · Answer

Решим по действиям:1) 4/(a + 1) + 2a/(a² - 1) = 4/(a + 1) + 2a/(a - 1)(a + 1) = 4(a - 1)/(a + 1)(a - 1) ++ 2a/(a - 1)(a + 1) = (4a - 4 + 2a)/(a - 1)(a + 1) = (6a - 4)/(a - 1)(a + 1)2) (6a - 4)/(a - 1)(a + 1) - 1/(a - 1) = (6a - 4)/(a - 1)(a + 1) - (a + 1)/(a - 1)(a + 1) = (6a - 4 - a - 1)/(a - 1)(a + 1) = (5a - 5)/(a - 1)(a + 1) = 5(a - 1)/(a - 1)(a + 1) == 5/(a + 1)3) 5/(a + 1)·(a² + 2a + 1) = 5(a + 1)²/(a + 1) = 5a + 5 ответ: 5a + 5. ...