раскройте скобки в выражении (а-2b-3с)^2. Created by JOKE367. algebra-ru

раскройте скобки в выражении (а-2b-3с)^2...

JOKE367 @JOKE367

August 2022 1 7 Report

раскройте скобки в выражении (а-2b-3с)^2

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NNNLLL54

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$(a-2b-3c)^2=(a-2b-3c)(a-2b-3c)=\\\\=a^2-2ab-3ac-2ab+4b^2+6bc-3ac+6bc+9c^2=\\\\=a^2+4b^2+9c^2-4ab-6ac+12bc$
Или:

$(a-2b-3c)^2=(a-(2b+3c))^2=\\\\=a^2-2a(2b+3c)+(2b+3c)^2=a^2-4ab-6ac+4b^2+12ac+9c^2$

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