Упростить выражение(a+b+c)^2+(a+b-c)^2+(a-b+c)^2+(b+c-a)^2. Created by vale1214. algebra-ru

Упростить выражение(a+b+c)^2+(a+b-c)^2+(a-b+c)^2+(b+c-a)^2...

September 2021 1 4 Report

Упростить выражение
(a+b+c)^2+(a+b-c)^2+(a-b+c)^2+(b+c-a)^2

Answers & Comments

Опыт (a+b+c)^2+(a+b-c)^2+(a-b+c)^2+(b+c-a)^2 =

=a^2+b^2+c^2+2ab+2ac+2bc+
a^2+b^2+c^2+2ab-2ac-2bc+
a^2+b^2+c^2-2ab+2ac-2bc+
a^2+b^2+c^2-2ab-2ac+2bc
=4a^2+4b^2+4c^2

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