If-a-b-c-b-c-a-c-a-b-1-then-prove-that-a-2-b-c-b-2-c-a-c-2-a-b-0- Tinku Tara June 4, 2023 Algebra 0 Comments FacebookTweetPin Question Number 35080 by math1967 last updated on 15/May/18 Ifab+c+bc+a+ca+b=1thenprovethata2b+c+b2c+a+c2a+b=0 Answered by ajfour last updated on 15/May/18 ab+c+bc+a+ca+b=1(a+b+c)[ab+c+bc+a+ca+b]=a+b+c…….(i)nowleta2b+c+b2c+a+c2a+b=q(i)givesq+a(b+c)b+c+b(c+a)c+a+c(a+b)a+b=a+b+cq=a2b+c+b2c+a+c2a+b=0. Answered by tanmay.chaudhury50@gmail.com last updated on 15/May/18 =a2b+c+a+b2c+a+b+c2a+b+c−(a+b+c)a2+ab+acb+c+b2+bc+abc+a+c2+ac+bca+b−(a+b+c)=a(a+b+c)b+c+b(a+b+c)c+a+c(a+b+c)a+b−(a+b+c)=(a+b+c)(ab+c+bc+a+ca+b−1)=(a+b+c)(1−1)=0 Terms of Service Privacy Policy Contact: info@tinkutara.com FacebookTweetPin Post navigation Previous Previous post: Question-100613Next Next post: k-1-k-n-ln-k-2-k- Leave a Reply Cancel replyYour email address will not be published. Required fields are marked *Comment * Name * Save my name, email, and website in this browser for the next time I comment.