Question

Sa se arate ca,oricare ar fi numarul natural n:​

Answer 1

Răspuns:

Explicație pas cu pas:

Answer 2

$\it 25^{n+1}\cdot3^{2n+2}-5^{2n}\cdot9^{n+2}=25^n\cdot25\cdot9^n\cdot9-25^n\cdot9^n\cdot9=\\ \\ =25^n\cdot9^n(25\cdot9-9^2)=(25\cdot9)^n(225-81)=225^n\cdot144=\\ \\ =225^n\cdot6\cdot24\in M_{24}$