Question

Scrieti numarul 2009^2009 sub forma x^2 +y^2.)
b) Scrieti numarul 2010 si 2010^2011 sub forma x^2+y^2

Answer 1

Salut,

$2009^{2009}=2009\cdot2009^{2008}=(35^2+28^2)\cdot 2009^{1004\cdot2}=\\\\=(35^2+28^2)\cdot\left(2009^{1004}\right)^2=\left(35\cdot2009^{1004}\right)^2+\left(28\cdot2009^{1004}\right)^2.$

Green eyes.