Question

10. Arătaţi că numărul 2017la a doua - 2017-2016 este pătrat perfect.​

Answer 1

2017^2-2017-2016=

=2017×(2017-1)-2016=

=2017×2016-2016=

=2016×(2017-1)=

=2016×2016=2016^2 este pătrat perfect

Answer 2

$2017^{2} - 2017 -2016=$

$2017\cdot (2017-1) -2016=$

$2017\cdot (2016) -2016=$

$2016\cdot (2017 -1)=$

$2016\cdot 2016=$

$\boxed{2016^{2} }\:patrat\: perfect$