Binomial Theorem

Asked by  | 7th Jun, 2009, 11:27: PM

Expert Answer:

9n=(1+8)n=1+nC18+nC282+...+nCn8n

 9n+1 - 8n - 9 =9+72n+9nC282+...+9nCn8n-8n-9=64n +9nC282+...+9nCn8n

Clearly each term of the expansion contains at least 82=64, hence the polynomial is divisible by 64.

Answered by  | 8th Jun, 2009, 12:52: AM

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