Question

Докажите тождество
(b+c-2a)(c-b)+(c+a-2b)(a-c)-(a+b-2c)(a-b)=0

Answer 1

c²-b²-2ac+2ab +a²-c²-2ab+2bc-a²+b²+2ac-2bc=a²+b²+c²-a²-b²-c²+2ab+2bc+2ac-2ab-2bc-2ac=0