Выполни деление алгебраических дробей: (m−1)²/49+49m³ : 1−m²/(7m+7)². Created by Egorushka2007. algebra-ru

(7m+7)²...

Egorushka2007 @Egorushka2007

August 2022 1 8 Report

Выполни деление алгебраических дробей:
(m−1)²/49+49m³ : 1−m²/(7m+7)²

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Universalka

Verified answer

$\frac{(m-1)^{2}}{49+49m^{3}}:\frac{1-m^{2}}{(7m+7)^{2}}=\frac{(m-1)^{2}}{49(1+m^{3})}*\frac{49(m+1)^{2}}{-(m-1)(m+1)}=-\frac{m-1}{(m+1)(m^{2}-m+1)}*(m+1)=-\frac{m-1}{m^{2}-m+1}=\frac{1-m}{m^{2}-m+1}$

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