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2017分之2016*2016用简便方法计算

为什么结果是1008

2016×2017+2017+2015分之2016×2016 =2017x(2016+1)+2015x(2016/2015)+1x(2016/2015) =2017x2017+2016+1+1/2015 =2017x(2017+1)+1/2015 =2017x2018+1/2015 =2000x2018+10x2018+7x2018+1/2015 =4036000+20180+14126+1/2015 =4070306+1/2015 =40703...

2016/2017*(2017-1)=2016-2016/2017=2015又1/2017 运用了乘法的分配率,

2017*2017-2016*2016=(2017+2016)-(2017-2016)=4033*1=4033 平方差公式

2016 2017*2015=(2016+1)*(2016-1)=2016^2-1 2016/[2016^2-(2016^2-1)]=2016

1008

2016×20172017-2017×20162016 =2016×2017×10001-2017×2016×10001 =0

(2013+1)×2016-2013×(2016+1)=2013×2016+2016-2013×2016-2013=2016-2013=3

2016/2016又2017分之2016 =2016/[(2016x2017+2016)/2017] =2016 x 2017/(2016x2017+2016) =2017/(2017+1) =2017/2018

2016÷2016又2016/2017 =(2016÷2016)÷(2016÷2016+2016/2017÷2016) =1÷(1+1/2017) =1÷2018/2017 =2017/2018

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