Question

$\: aratati \: ca \: numarul\: 3 {}^{72} + 2 \times 3 {}^{72} + 3 {}^{74} este \: patrat \: perfect \: \\ \\ \\ \\ repedeee$

sa glisati la stanga

Answer 1

$3^{72}+2\cdot 3^{73}+3^{74}=3^{72}(1+2\cdot 3+3^2)=3^{72}(1+6+9)=\\3^{72}\cdot 16= (3^{36})^2\cdot 4^2=(3^{36}\cdot 4)^2$