Question

Calculati: 1). 125 * 1111 la put 3 - 5555la put 5

Answer 1

125=5^3
5^3 *  1111^3 (5*1111)^3=5555^3
5555^3 -5555^5
g

Answer 2

    
$125 * 1111^{3} - 5555^5 = \\ = 5^{3} * 1111^{3} - 5555^5 = \\ =(5*1111)^{3}-5555^5 = \\ = 5555^3 - 5555^5 = 5555^3(1 - 5555^2) \\ \text{Daca in enunt ar fi 5555 la put 3 in loc de put 5, atunci:} \\ 5555^3 - 5555^3 = 0$