1) a/1-b-a/1+b+a/1-b^2. Created by nataliyantonov. algebra-ru

1-b^2...

July 2022 1 5 Report

1) a/1-b-a/1+b+a/1-b^2

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AlexandraZh $\frac{a}{1-b}$ - $\frac{a}{1+b}$ + $\frac{a}{1-b²}$ =
$\frac{a}{1-b}$ - $\frac{a}{1+b}$ + $\frac{a}{(1-b)(1+b)}$ =
$\frac{a(1+b) - a(1-b) + 1}{(1-b)(1+b)}$ =
$\frac{a+ ab - a+ab + 1}{(1-b)(1+b)}$ =
$\frac{2ab + 1}{(1-b)(1+b)}$

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