Question

Scrieți nr 13 la puterea 123 ca suma de doua pătrate perfecte DAU CORANA

Answer 1

${13}^{123} = {13}^{122} \times 13 = {13}^{122} \times (4 + 9) = {13}^{122} \times (( {2}^{2} ) + ( {3}^{2} )) = {13}^{122} \times {2}^{2} + {13}^{122} \times {3}^{2} = ( {13}^{61} \times 2)^{2} + ( {13}^{61} \times 3)^{2}$