# The product

1. Aug 26, 2004

### vikasj007

well i could not get anything really mibd boggling, so u will have to put up with this one

what is the product of:

(x-a)(x-b)(x-c).................. = ?

2. Aug 26, 2004

### cepheid

Staff Emeritus
$$(x^2 - bx - ax + ab)(x-c)$$

$$= x^3 - cx^2 - bx^2 + cbx - ax^2 +cax + abx - cab$$

What the hell was the point? Basic algebra, without even a nice expansion.

EDIT *sigh*, yeah ok, had to collect terms, it looked so bad otherwise:

$$= x^3 - (a+b+c)x^2 + (ab + ac + bc)x - abc$$

Last edited: Aug 26, 2004
3. Aug 26, 2004

### Pi

Haha, haven't seen that one in a long time :rofl:

(x - a)(x - b) ... (x - x)(x - y)(x - z) = 0

since x - x = 0

4. Aug 30, 2004

### vikasj007

what in the world was cepheid trying to do?

next time try to read carefully.

5. Aug 30, 2004

### check

vilkasj007, u should have written it more clearly. something like this:
(x-a)(x-b)...(x-y)(x-z) = ?