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Arați ca numărul natural n=2016 la puterea doi + 2016 + 2017 este pătrat perfect

Răspuns :

Răspuns:

n=2016²+2016+2017=

2016(2016+1)+2017=

2016*2017+2017=

2017(2016+1)=2017*2017=

2017²= patrat perfect

Explicație pas cu pas:

Răspuns:

n=2016²+2016+2017

n=2016(2016+1)+2017

n=2016·2017+2017

n=2017(2016+1)

n=2017·2017

n=2017² patrat perfect