x^{4}-12x^{3}+12x^{2}-12x+111=x^{4}-12(x^{3}-x^{2}+x)+111(*)thay x = 11 vào(*)ta có 11^{4}-12(11^{3}-11^{2}+11)+111=14641-14652+111=100
$x^{4}-12x^{3}+12x^{2}-12x+111=x^{4}-12(x^{3}-x^{2}+x)+111(*)
$thay x = 11 vào(*)ta có
$11^{4}-12(11^{3}-11^{2}+11)+111=14641-14652+111=100
$