Question

 Efectuati ;
$88^{10} - 89*88^{9} -........ 89* 88^{2} + 89*88-1 =$


Repede dau coroana!!

Answer 1

Dai factor comun 88
88(88^9-89*88^8-........-89*88+89-1)=
88(88^9-89*88^8-........-89*88+88)=
88*88(88^8-89*88^7-.......-89+1)=
 de fiecare data la final vei avea -89+1 care va face -88, care sa va da in factor comun
Repatand  vei ajunge la 88^9(88-1)=88^9 * 87