c, x^{4}-12x^{3}+12x^{2}-12x+111= x^{3}(12-11)+12x(x-1)+111 = x^{3}.1+12x(x-1)+111(*)thay x =11 vào (*) ta có11^{3}+12.11.10+111 = 11(11^{2}+12.10)+111 = 11.241 + 111 = 2651 + 111 = 2762
c, x^{4}-12x^{3}+12x^{2}-12x+111= x^{
4}-11
x^{3}-x^{3}+1
1x^{2
}+x
^{2}-1
1x-x+111 = x^{3}
(x-11
)-x^{2
}(x-11)+x(x-
11)
-x+111(*)thay x =11 vào (*) ta có11^{3}.0
-11^{2}.0+11
.0-11+111
=100