Question

\(\dfrac{2017x2016-1017}{1000+2017x2015}\)

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Answer 1

`(2017 xx 2016 - 1017)/(1000 + 2017 xx 2015)`

`= (2017 xx (2015 + 1) - 1017)/(1000 + 2017 xx 2015)`

`= (2017 xx 2015 + 1 xx 2017  - 1017)/(1000 + 2017 xx 2015)`

`= (2017 xx 2015 + 2017  - 1017)/(1000 + 2017 xx 2015)`

`= (2017 xx 2015 + 1000)/(1000 + 2017 xx 2015)`

`= 1`

Answer 2

\(\dfrac{2017\times2016-1017}{1000+2017\times2015}=\dfrac{2017\times\left(2015+1\right)-1017}{2017\times2015+1000}\)

\(=\dfrac{2017\times2015+2017\times1-1017}{2017\times2015+100}=\dfrac{2017\times2015+2017-1017}{2017\times2015+100}\)

\(=\dfrac{2017\times2015+1000}{2017\times2015+100}=1\)