a) `199^3`
`=(200-1)^3`
`=200^3-3.200^{2}.1+3.200.1^2-1^3`
`=8000000-120000+600-1`
`=7880000+600-1`
`=7880600-1`
`=7880599`
b) `199^3+3.199^{2}+3.199+1`
`=199^3+3.199^{2}.1+3.199.1^2+1^3`
`=(199+1)^3`
`=200^3`
`=80000000`
c) `103^3`
`=(100+3)^3`
`=100^3+3.100^{2}.3+3.100.3^2+3^3`
`=1000000+90000+2700+27`
`=1090000+2727`
`=1092727`
d) `103^3-9.103^2+27.103-27`
`=103^3-3.103^{2}.3+3.103.3^3-3^3`
`=(103-3)^3`
`=100^3`
`=1000000`
