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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