Упростите выражение [tex] \frac{a^2+ab+b^2}{a^3-b^3} - \frac{a^2-ab+b^2}{a^3+b^3} [/tex]. Created by Lirmeri. algebra-ru

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November 2021 1 17 Report

Упростите выражение [tex] \frac{a^2+ab+b^2}{a^3-b^3} - \frac{a^2-ab+b^2}{a^3+b^3} [/tex]

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Alexandr130398 $= \frac{a^2+ab+b^2}{(a-b)(a^2+ab+b^2)} - \frac{a^2-ab+b^2}{(a+b)(a^2-ab+b^2)} = \frac{1}{a-b} - \frac{1}{a+b} = \frac{a+b-a+b}{(a-b)(a+b)} = \frac{2b}{a^2-b^2}$

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