perplexus.info :: Just Math : Simplify the expression

Simplify the expression (Posted on 2006-06-16)

Simplify the expression

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

Submitted by Salil

Rating: 2.6667 (3 votes)

Solution: (Hide)

This is nothing but (x-a)*(x-b)*(x-c).....(x-z).

Since there will be a term (x-x) in between the value of the expression will be 0.

Comments: ( You must be logged in to post comments.)

Subject	Author	Date
Sol'n	Bon	2006-07-23 16:01:51
Puzzle Solution ( Clarification)	K Sengupta	2006-06-29 05:03:05
No Subject	shawn	2006-06-17 08:03:10
re(2): Short	brianjn	2006-06-17 07:44:16
re: Short	Salil	2006-06-17 03:48:21
Short	Federico Kereki	2006-06-16 10:28:49
Resolution Approach (Alternate)	K Sengupta	2006-06-16 10:14:24
A Guess	tomarken	2006-06-16 09:26:14

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 (5)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Chatterbox:


perplexus dot info