Ta có: ab+ba =10a+b+10b+a =11a+11b =11(a+b) chia hết cho 11 Tick cho mình nha
ab+ba=10a+b+10b+a
=11a+11b
=11(a+b) \(⋮\) 11
ab+ba
=a.10+b.1+b.10+a.1
=a.10+a.1+b.10+b.1
=a.(10+1)+b.(10.1)
=a.11+b.11
=11.(a+b)\(⋮\)11(vì 11\(⋮\)11)
ab+ba=a.10+b+b.10+a=a.(10+1)+b.(10+1)
=a.11+b.11=11.(a+b)\(⋮\)11
a)ab+ba
Ta có:ab=10a+b
ba=10b+a
ab+ba=10a+b+10b+a
= 11a + 11b
Ta thấy: 11a⋮11 ; 11b⋮11
=>ab+ba⋮11 (ĐPCM)