Chứng minh

P

pe_lun_hp

$A = 11^{n +2} + 12^{2n +1}$

$=(11^2.11^n) + (12^{2n}.12^1) = 121.11^n + 12.144^n$

$ =(133 - 12).11^n + 12.144^n = 133.11^n + (144^n - 11^n).12$

Vì $133.11^n \ \ \vdots \ \ 133$

$144^n - 11^n \ \ \vdots \ \ (144 - 11) $

-> $144^n - 11^n \ \ \vdots \ \ 133$

-> đpcm :)
 
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