Ta có 52014 - 52013 + 52012
= 52012.(52 - 5 + 1)
= 52012.21
= 52011.5.21
= 52011.105 \(⋮\)105
=> 52014 - 52013 + 52012 \(⋮\)105
Ta có :
52014 - 52013 + 52012
= 52012 . (52 - 51 + 1)
= 52012 . (25 - 5 + 1)
= 52012 . 21
= 52011 . 5 . 21
= 52011 . 105\(⋮\)105
=> 52014 - 52013 + 52012 \(⋮\)105 (đpcm)
~Study well~
#Zu
#)Giải :
\(5^{2014}-5^{2013}+5^{2012}=5^{2012}\left(5^2-5^6+1\right)=5^{2012}.21=5^{2011}.5.21=5^{2011}.105\)chia hết cho 105
\(\Rightarrowđpcm\)
Ta có
\(2^{1014}-5^{2013}+5^{2012}\)
\(=5^{2012}.\left(5^2-5+1\right)\)
\(=5^{2012}.21\)
\(=5^{2011}.5.21\)
\(=5^{2011}.105⋮105\)
\(\Rightarrowđpcm\)
