(^3√9+^3√6+^3√4)(^3√3-^3√2). Created by PRO100Cookies. algebra-ru

Ответ:1Объяснение:Использована формула разности кубов(a²+ab+b²)(a-b) =a³-b³

(^3√9+^3√6+^3√4)(^3√3-^3√2)...

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(^3√9+^3√6+^3√4)(^3√3-^3√2)

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sergeevaolga5

Ответ:

Объяснение:

$(\sqrt[3]{9}+\sqrt[3]{6}+\sqrt[3]{4})( \sqrt[3]{3}-\sqrt[3]{2})=\\\\=((\sqrt[3]{3})^2+\sqrt[3]{3}*\sqrt[3]{2}+(\sqrt[3]{2})^2)(\sqrt[3]{3}-\sqrt[3]{2})=\\\\=(\sqrt[3]{3})^3-(\sqrt[3]{2})^3=3-2=1$

Использована формула разности кубов

(a²+ab+b²)(a-b) =a³-b³

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