Răspuns :
Răspuns:
Explicație pas cu pas:
76^63=(71+5)^63= M71+5^63
66^53=(71-5)^63=N71-5^53
insumand, obtinem M71+N71+5^53(5^10-1)=
P71+5^53( 5^5+1) (5^5-1)=P71+5^53(3125-1) (3125+1)= P71+5^53* 3126*3124, div cu 71 pt ca 3124=71*44
Obs
am nota M si N, P pt a arata ca sunt mutiplii iferiti
2k+1 nu vad ce importanta are aici
[tex]\it a=76^{63}+66^{53}=(71+5)^{63}+(71-5)^{53} =M_{71}+5^{63}+M_{71}-5^{53}=\\ \\ =M_{71}-5^{53}(5^{10}-1)\\ \\ 5^{10}-1=(5^5)^2-1=(5^5-1)(5^5+1) =3124\cdot3126=71\cdot44\cdot3126 =M_{71}\\ \\ \\ Deci,\ a=M_{71} -M_{71}=M_{71}[/tex]