Răspuns :
x ³ - 1 = x³ - x ² + x² - 1 = ( x ³ - x ² ) + ( x² -1 ) =
= x² ( x -1 ) + ( x -1 ) · ( x +1 ) = ( x -1 ) · ( x ² + x +1 )
= x² ( x -1 ) + ( x -1 ) · ( x +1 ) = ( x -1 ) · ( x ² + x +1 )
(x²+x+1) * (x-1) = x*x² + x*x + x*1 -1*x² - 1*x - 1*1 =x³ + x² - x² + x - x - 1 = x³ - 1