All about flooble | fun stuff | Get a free chatterbox | Free JavaScript | Avatars    
perplexus dot info

Home > Just Math
Simplify the expression (Posted on 2006-06-16) Difficulty: 2 of 5
Simplify the expression

x26 - x25(a+b+c+...+z) + x24(ab+ac+...+az+bc+...+bz+...+yz) - x23(abc+...+abz+acd+...+acz+...+xyz) + ... + abc...z

See The Solution Submitted by Salil    
Rating: 2.6667 (3 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
Hints/Tips Resolution Approach (Alternate) | Comment 2 of 8 |
(In reply to A Guess by tomarken)

I looked around and I am willing to bet that the expression given in the problem can be factorised in terms of Vieta's formula for  Polynomial roots ( ref: http://mathworld.wolfram.com/VietasFormulas.html)

This would provide another likely  avenue to deduce or verify  the final answer  to this problem.

Edited on June 16, 2006, 10:14 am

Edited on June 16, 2006, 10:16 am

Edited on June 16, 2006, 10:22 am
  Posted by K Sengupta on 2006-06-16 10:14:24

Please log in:
Login:
Password:
Remember me:
Sign up! | Forgot password


Search:
Search body:
Forums (0)
Newest Problems
Random Problem
FAQ | About This Site
Site Statistics
New Comments (3)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Chatterbox:
Copyright © 2002 - 2017 by Animus Pactum Consulting. All rights reserved. Privacy Information