It's hard to see any reason for crossposting this to four groups; I
have trimmed followups to sci.stat.math but probably
uk.education.maths or alt.algebra.help would have been a better
original choice.
John <[EMAIL PROTECTED]> wrote in sci.stat.edu:
>I have a mathematical expression
>(x-1)(x-2)+(x-1)(2x-3)+(x-1)(3x-4)+(2x-2)(2x-3)+(2x-2)(3x-4)+(3x-3)(3x-4)
>
>It looks like it has some �rhythms� on the coefficient of x and on the
>numbers subtracted from x.
>
>Does the expression belong to some special polynomials or series?
It's not a series, at least not as you have written it. Did you
intend "+..." at the end?
Also note that at least part of the "rhythm" can be simplified. 2x-2
is the same as 2(x-1), and 3x-3 = 3(x-1), so you really have
(x-1)[(x-2) + (2x-3) + (3x-4) + 2(2x-3) + 2(3x-4) + 3(3x-4)]
which simplifies further (if I haven't made a careless error) to
(x-1)[(x-2) + 3(2x-3) + 6(3x-4)]
(x-1)(x-2 + 6x-9 + 18x-24]
(x-1)(25x-35)
5(x-1)(5x-7)
5(5x^2-12x+7)
25x^2 - 60x + 35
--
Stan Brown, Oak Road Systems, Cortland County, New York, USA
http://OakRoadSystems.com
"An expense does not have to be required to be considered
necessary." -- IRS Form 1040 line 23 instructions
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