Question

Sa se scrie ca suma de doua puteri a² nr 25³¹

Answer 1

$25^{31}=25^{30}\cdot 25=\\ \\=25^{30}\cdot (9+16)=\\ \\=25^{2\cdot 15}\cdot(3^2+4^2)=\\ \\=(25^{15})^2\cdot(3^2+4^2)=\\ \\=(25^{15})^2\cdot 3^2 + (25^{15})^2\cdot 4^2=\\ \\= \boxed{(25^{15}\cdot 3)^2 +(25^{15}\cdot 4)^2}$