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2^105-2^104-2^103-2^102
Cu factor comun


Răspuns :

2^105-2^104-2^103-2^102=
2^102(2^3-2^2-2^1-2^0)=
2^102(8-4-2-1)=
2^102 x 1=
2^102
[tex] 2^{105} -2^{104} -2^{103} - 2^{102} = \\ 2^{102} ( 2^{3} -2^{2}-2-1) \\ =2^{102} (8-4-2-1) = \\= 2^{102} *1 \\ =2^{102}[/tex]