Đáp án:
`A>B`
Giải thích các bước giải:
`A=(10^2014+2016)/(10^2015+2016)`
`10A=(10(10^2014+2016))/(10^2015+2016)`
`10A=(10^2015+20160)/(10^2015+2016)`
`10A=(10^2015+2016+18144)/(10^2015+2016)`
`10A=(10^2015+2016)/(10^2015+2016)+18144/(10^2015+2016)`
`10A=1+18144/(10^2015+2016)`
`B=(10^2015+2016)/(10^2016+2016)`
`10B=(10(10^2015+2016))/(10^2016+2016)`
`10B=(10^2016+20160)/(10^2016+2016)`
`10B=(10^2016+2016+18144)/(10^2016+2016)`
`10B=(10^2016+2016)/(10^2016+2016)+18144/(10^2016+2016)`
`10B=1+18144/(10^2016+2016)`
Ta thấy `18144/(10^2015+2016)>18144/(10^2016+2016)` nên `1+18144/(10^2015+2016)>1+18144/(10^2016+2016)`
`=>10A>10B`
`=>A>B`.
