Ta có :
\(43^4+43^5\)
\(=43^4\left(1+43\right)\)
\(=43^4.44⋮44\)
Vậy \(43^4+43^5⋮44\).
Học tốt
\(43^4+43^5\)
\(=43^4\left(1+43\right)\)
\(=43^4.44⋮44\)
\(\Rightarrow\)\(43^4+43^5⋮44\)
Ta có: \(43^4+43^5=43^4+43^4\cdot43=43^4\cdot\left(1+43\right)=43^4\cdot44\)
Ta thấy: \(43^4\cdot44\)chia hết cho \(44\)
Nên: \(43^4+43^5\)chia hết cho 44
434 + 435 = 434.1 + 434.43 = 434( 1 + 43 ) = 434.44 \(⋮\)44 ( đpcm )
