proof-a-b-a-b-ab- Tinku Tara June 4, 2023 Number Theory 0 Comments FacebookTweetPin Question Number 32499 by 7991 last updated on 26/Mar/18 proof:a(−b)=(−a)b=−(ab) Answered by $@ty@m last updated on 26/Mar/18 Wehave:3×2=63×1=33×0=0ifwecontinuetheprocess,theno.nextto2,1,0wouldbe−1&no.nextto6,3,0wouldbe−3Hence3×(−1)=−3⇒a(−b)=−ab Answered by Joel578 last updated on 26/Mar/18 Weknowfora,b∈R(−1).a=−aand(−1).b=−ba(−b)=a.[(−1)b]=[a(−1)].b=(−a)ba(−b)=a.[(−1)b]=(−1).(ab)=−ab(−a)b=[(−1)a].b=(−1).(ab)=−ab Terms of Service Privacy Policy Contact: info@tinkutara.com FacebookTweetPin Post navigation Previous Previous post: Question-32496Next Next post: proof-a-b-ab- Leave a Reply Cancel replyYour email address will not be published.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.
![We know for a, b ∈ R (−1) . a = −a and (−1) . b = −b a(−b) = a . [(−1)b] = [a(−1)] . b = (−a)b a(−b) = a . [(−1)b] = (−1) . (ab) = −ab (−a)b = [(−1)a]. b = (−1) . (ab) = −ab](https://www.tinkutara.com/question/Q32504.png)