a/ `A=3+3^2+3^3+...+3^59+3^60`
`=(3+3^2+3^3)+(3^4+3^5+3^6)+...+(3^58+3^59+3^60)`
`=3(1+3+3^2)+3^4 . (1+3+3^2)+...+3^58 . (1+3+3^2)`
`=3.13+13.3^4+13.3^58`
`=13.(3+3^4+3^58) vdots 13`
b/ `B=10^28+8 vdots 72`
`10^28=10000....0` (28 chữ số 0)
`=>10^28+8=10000....8 vdots 9` (27 chữ số 0) (1)
`10^28=2^28 . 5 ^28 =2^3 . 2^25 . 5^28=8.2^25 . 5^28`
`=>10^28+8=8.(1+2^25+5^28) vdots 8` (2)
Mà ƯCLN(8;9) = 1 (3)
`(1);(2);(3)`
`=> B vdots 72`