a,
`B=2021·2019=(2020+1)(2020-1)=2020^2-1<2020^2=A`
Vậy `B<A` hay `A>B`
b,
`B=8+2^3+2^4+...+2^98+2^99`
`=2^3+2^3+2^4+...+2^98+2^99`
`=2^3·2+2^4+...+2^98+2^99`
`=2^4+2^4+2^5+...+2^98+2^99`
`=2^4·2+2^5+...+2^98+2^99`
`=2^5+2^5+2^6+...+2^98+2^99`
`\vdots`
`=2^99+2^99=2^99·2=2^100=(2^50)^2`
Vậy `B` là số chính phương