Question Number 114101 by naka3546 last updated on 17/Sep/20
$${Let}\:\:{x}\:\:{are}\:\:{positive}\:\:{even}\:\:{numbers}\:\:{more}\:\:{than}\:\:\mathrm{8}\:. \\ $$$${What}\:\:{is}\:\:{the}\:\:{remainder}\:\:{of}\:\:\:{divisibility}\:\:: \\ $$$$\left({x}\:+\:\mathrm{1}\right)^{{x}} \:−\:{x}^{{x}} \:\:{by}\:\:\left({x}\:+\:\mathrm{2}\right)^{\mathrm{2}} \\ $$