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

See The Solution Submitted by Salil

Rating: 2.6667 (3 votes)

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Sol'n

Comment 8 of 8 |

The expression suggests it is

(x-a)(x-b)...(x-y)(x-z)

Since there is a term (x-x), so the entire expression goes to 0.

Posted by Bon on 2006-07-23 16:01:51

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