Raphael MF wrote: > > Alguem sabe algumas formas de fatora��o da express�o abaixo > > a^3 + b^3 + c^3 - 3abc
a^3 + 3(a^2)b + 3a(b^2) + b^3 + c^3 - 3(a^2)b - 3a(b^2) - 3abc (a+b)^3 + c^3 - 3ab(a+b+c) (a+b+c)[(a+b)^2 - (a+b)c + c^2] - 3ab(a+b+c) (a+b+c)[(a+b)^2 - (a+b)c + c^2 - 3ab] (a+b+c)[a^2 + b^2 + c^2 -ab -ac -bc] (a+b+c)[2a^2 + 2b^2 +2c^2 -2ab - 2bc - 2b)/1/2 (a+b+c)[(a-b)^2 + (a-c)^2 + (b-c)^2]1/2 -- [about him:] "It is rare to find learned men who are clean, do not stink and have a sense of humour." Gottfried Whilhem Leibniz ========================================================================= Instru��es para entrar na lista, sair da lista e usar a lista em http://www.mat.puc-rio.br/~nicolau/olimp/obm-l.html O administrador desta lista � <[EMAIL PROTECTED]> =========================================================================
