Simplify the expression

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

(In reply to No Subject by shawn)

The expression A given by:
A = (x - a)(x - b).......................(x - z)
contains (x-x) as one of its factors.  Since, x-x=0. it follows that:
A = 0.

Edited on June 29, 2006, 5:03 am

Posted by K Sengupta on 2006-06-29 05:03:05