Question

poate fi patrat perfect rezultatul scaderii: 5^15-5^14

Answer 1

$5^{15}-5^{14}=5^{14}\cdot5^{1}-5^{14}=\\ \\=5^{14}(5-1)=\\ \\=5^{14}\cdot 4=\\ \\=(5^{7})^{2}\cdot 2^{2}=\\ \\=(5^{7}\cdot 2)^{2} \Rightarrow rezultatul~scaderii~5^{15}-5^{14}~este~patrat~perfect$