<prompt> Acha a, b, c iwe mizizi ya x3 px q 0. Kokotoa kibainishianzavmatrix a b c b c a c a b mwishovmatrix.  <response>: Tunaweza kupanua kibainishi kama ifuatavyo:anzaalignanzavmatrix a b c b c a c a b mwishovmatrix a anzavmatrix c a a b mwishovmatrix - b anzavmatrix b a c b mwishovmatrix c anzavmatrix b c c a mwishovmatrix abc - a2 - bb2 - ac cab - c2 3abc - a3 b3 c3.mwishoalignTunaweza kubainisha a3 b3 c3 - 3abc kamaa3 b3 c3 - 3abc a b ca2 b2 c2 - ab - ac - bc.Kwa fomula za Vieta, a b c 0, hivyo kibainishi ni sawa na 0. 