CMR: $(2^9+2^7+1)(2^{23}-2^{21}+2^{19}-2^{17}+2^{14}-2^{10}+2^9-2^7+1)=2^{32}+1$

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1. Ta có :

   `(2^9+2^7+1)(2^{23}-2^{21}+2^{19}-2^{17}+2^{14}-2^{10}+2^9-2^7+1)`

   `=2^{32}+2^{23}+2^{18}+512-2^{24}-2^{17}+2^{23}-2^{17}-1024+512+1`

   `=2^{32}+2.2^{23}+2^{18}+1-2^{24}-2.2^{17}`

   `=2^{32}+2^{14}+2^{18}+1-2^{24}-2^{18}`

   `=2^{32}+1`

   `⇒ ĐPCM`

   Xin hay nhất !

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