Ta có:
55 - 54 + 53
=53.52-53.5+53.1
=53.(52-5+1)
=53.(25-5+1)
=53.21
=53.3.7
Vì 53.3.7 chia hết cho 7
=> ĐPCM
Ta có:
55-54+53=53.52-54.5+53
=53.(52-5+1)
=53.21 \(⋮\)7( vì 21 \(⋮\)7)
=>55-54+53 \(⋮\)7(đpcm)
Ta có: \(5^5-5^4+5^3=5^3.\left(5^2-5+1\right)=5^3.21⋮7\)
\(\Rightarrow5^5-5^4+5^3⋮7\left(đpcm\right)\)