докажите тождество( a-b/a^2+ab-a/ab+b^2):(1/a+b-b^2/ab^2-a^3)=b-a/b. Created by dasha110. algebra-ru

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dasha110 @dasha110

July 2022 1 7 Report

докажите тождество( a-b/a^2+ab-a/ab+b^2):(1/a+b-b^2/ab^2-a^3)=b-a/b

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sedinalana

Verified answer

(a-b)/[a(a+b)]-a/[b(a+b)]=(ab-b²-a²)/[ab(a+b)]
1/(a+b)+b²/[a(a-b)(a+b)]=(a²-ab+b²)/[a(a-b)(a+b)]
(ab-b²-a²)/[ab(a+b)]*[a(a-b)(a+b)]/(a²-ab+b²)=-(a-b)/b=(b-a)/b

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Verified answer

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