Question

aratati ca numarul 29^501 se poate scrie ca o suma de doua patrate perfecte

Answer 1

$29^{501} = 29* 29^{500}$ =$(25+4)* 29^{500} .$=$( 5^{2} + 2^{2} )* 29^{500} = 5^{2} * 29^{500} + 2^{2} * 29^{500}$ = $( 2* 29^{250}) ^{2} +( 2* 29^{250}) ^{2}$