2019^2-4038+1÷2017×2019+1用简便方式计算

Question

2019^2-4038+1÷2017×2019+1用简便方式计算

Answer 1

(2019²-4038+1)÷(2017×2019+1)
=(2019-1)²÷[(2018-1)×(2018+1)+1]
=2018²÷(2018²-1+1)
=2018²÷2018²
=1