Question

Aratati ca urmatoarele numere sunt patrate perfecte: a) 2²¹+2¹⁸: b) 3²⁴+3²⁵: c) 5³⁷₋5³⁶:ajutatima imi trebuie neaparat la scoala pentru maine :

Answer 1

[tex]a)2^{21}+2^{18}=2^{18}(2^3+1)=2^{18}\cdot 9=(2^9)^2\cdot3^2=(2^9\cdot3)^2\\ b)3^{24}+3^{25}=3^{24}(1+3)=3^{24}\cdot 4=(3^{12})^2\cdot 2^2=(3^{12}\cdot 2)^2\\ c)5^{37}-5^{36}=5^{36}(5-1)=5^{36}\cdot 4=(5^{18})^2\cdot 2^2=(5^{18}\cdot 2)^2 [/tex]