[tex] \frac{b}{a-b} *( \frac{1}{a} - \frac{1}{b} )[/tex]решить . Created by anya9903. algebra-ru

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anya9903 @anya9903

July 2022 2 3 Report

[tex] \frac{b}{a-b} *( \frac{1}{a} - \frac{1}{b} )[/tex]
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mmb1

Verified answer

$b/(a-b)*(1/a-1/b)=b/(a-b)*(b-a)/ab=-1/a$

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yzano4ka $\frac{b}{a-b}*( \frac{1}{a}- \frac{1}{b} )$
в скобках приводим к общему знаменателю ab
$\frac{b}{a-b}( \frac{b-a}{ab} ) = \frac{b(b-a)}{ab(a-b)}= \frac{-(a-b)}{a(a-b)}= \frac{-1}{a}$

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