Question

aratati ca urmatoarele numere sunt patrate perfecte;3 la 35+3 la34 si 2 la 25-7x2 la 20

Answer 1

$3^{35}+3^{34}=3^{34}(3+1)=3^{34}\cdot 4 =(3^{17})^2\cdot 2^2=(3^{17}\cdot 2)^2\\2^{25}-7\cdot 2^{20}=2^{20}(2^5-7)=2^{20}(32-7)=2^{20}\cdot 25=(2^{10})^2\cdot 5^2= (2^{10}\cdot 5)^2$