chung to rang hieu ab -ba (voi a lon hon hoac bang b ) bao gio cung chia het cho 9
chung minh rang trong ba so nguyen to lon hon 3 bao gio cung co 2 so ma tong hoac hieu chia et cho 12
Chung minh rang trong 3 so nguyen to lon hon 3 luon co 2 so nguyen to ma tong hoac hieu cua chung chia het cho 12
cho 4 so nguyen to lon hon 5.chung to rang luon ton tai it nhat hai so co tong hoac hieu chia het cho 18
Hai so tu nhien a va b chia cho m co cung so du , a lon hon hoac bang b . chung to rang a- b:m
a) Chung minh rang: ab + ba chia het cho 11
ab - ba chia het cho 9 (a lon hon hoac bang b)
Ta có: ab+ba=a.10+b+b.10+a
=> ab+ba=a.11+b.11
=> ab+ba=11.(a+b)
=> ĐPCM
Ta có: ab-ba=a.10+b-b.10+a
=> ab-ba=a.10-a+b.10-b
=> ab-ba=a.9-b.9
=> ab-ba= 9.(a-b)
=> ĐPCM
cho 3 so nguyen to lon hon 3. CMR trong ba so ton tai 2 so co tong hoac hieu cua chung chia het cho 12
chung minh rang (a+b+1)(a^2+b^2) +4/(a+b) lon hon hoac bang 8 voi ab=1 va a,b duong
Voi n thuoc N, n lon hon bang 2 . chung minh rang (n^5-n) chia het cho 30
cho a la mot so nguyen .Chung to rang :a2 lon hon hoac bang 0;-a2 be hon hoac bang 0